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Finding the Fourth Proportional to 64.57, 96.75 and 40.13

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Solution

The fourth proportional to 64.57, 96.75 and 40.13 is: 60.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.57 : 96.75 = 40.13 : x
  2. Step 2: Convert to fraction form
    64.57/96.75 = 40.13/x
  3. Step 3: Cross multiply
    64.57x = 96.75 × 40.13
  4. Step 4: Simplify right side
    64.57x = 3,882.92
  5. Step 5: Solve for x
    x = 3,882.92/64.57
  6. Step 6: Final answer
    x = 60.14

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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.