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Finding the Fourth Proportional to 62.02, 85.35 and 57.97

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Solution

The fourth proportional to 62.02, 85.35 and 57.97 is: 79.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.02 : 85.35 = 57.97 : x
  2. Step 2: Convert to fraction form
    62.02/85.35 = 57.97/x
  3. Step 3: Cross multiply
    62.02x = 85.35 × 57.97
  4. Step 4: Simplify right side
    62.02x = 4,947.74
  5. Step 5: Solve for x
    x = 4,947.74/62.02
  6. Step 6: Final answer
    x = 79.78

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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.