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Finding the Fourth Proportional to 65.12, 97.52 and 39.38

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Solution

The fourth proportional to 65.12, 97.52 and 39.38 is: 58.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 97.52 = 39.38 : x
  2. Step 2: Convert to fraction form
    65.12/97.52 = 39.38/x
  3. Step 3: Cross multiply
    65.12x = 97.52 × 39.38
  4. Step 4: Simplify right side
    65.12x = 3,839.65
  5. Step 5: Solve for x
    x = 3,839.65/65.12
  6. Step 6: Final answer
    x = 58.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.