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Finding the Fourth Proportional to 5.70, 7.82 and 5.46

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Solution

The fourth proportional to 5.70, 7.82 and 5.46 is: 7.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.70 : 7.82 = 5.46 : x
  2. Step 2: Convert to fraction form
    5.70/7.82 = 5.46/x
  3. Step 3: Cross multiply
    5.70x = 7.82 × 5.46
  4. Step 4: Simplify right side
    5.70x = 42.67
  5. Step 5: Solve for x
    x = 42.67/5.70
  6. Step 6: Final answer
    x = 7.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.