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Finding the Fourth Proportional to 62.40, 86.14 and 40.28

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Solution

The fourth proportional to 62.40, 86.14 and 40.28 is: 55.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.40 : 86.14 = 40.28 : x
  2. Step 2: Convert to fraction form
    62.40/86.14 = 40.28/x
  3. Step 3: Cross multiply
    62.40x = 86.14 × 40.28
  4. Step 4: Simplify right side
    62.40x = 3,469.72
  5. Step 5: Solve for x
    x = 3,469.72/62.40
  6. Step 6: Final answer
    x = 55.60

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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.