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Finding the Fourth Proportional to 62.28, 85.92 and 37.70

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Solution

The fourth proportional to 62.28, 85.92 and 37.70 is: 52.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.28 : 85.92 = 37.70 : x
  2. Step 2: Convert to fraction form
    62.28/85.92 = 37.70/x
  3. Step 3: Cross multiply
    62.28x = 85.92 × 37.70
  4. Step 4: Simplify right side
    62.28x = 3,239.18
  5. Step 5: Solve for x
    x = 3,239.18/62.28
  6. Step 6: Final answer
    x = 52.01

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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.