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Finding the Fourth Proportional to 5.69, 7.85 and 5.34

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Solution

The fourth proportional to 5.69, 7.85 and 5.34 is: 7.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.69 : 7.85 = 5.34 : x
  2. Step 2: Convert to fraction form
    5.69/7.85 = 5.34/x
  3. Step 3: Cross multiply
    5.69x = 7.85 × 5.34
  4. Step 4: Simplify right side
    5.69x = 41.92
  5. Step 5: Solve for x
    x = 41.92/5.69
  6. Step 6: Final answer
    x = 7.37

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Find fourth proportional to 2.85, 3.93 and 2.67
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.