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Finding the Fourth Proportional to 5.67, 8.46 and 5

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Solution

The fourth proportional to 5.67, 8.46 and 5 is: 7.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.67 : 8.46 = 5 : x
  2. Step 2: Convert to fraction form
    5.67/8.46 = 5/x
  3. Step 3: Cross multiply
    5.67x = 8.46 × 5
  4. Step 4: Simplify right side
    5.67x = 42.30
  5. Step 5: Solve for x
    x = 42.30/5.67
  6. Step 6: Final answer
    x = 7.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.