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Finding the Fourth Proportional to 42.57, 64.08 and 39.94

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Solution

The fourth proportional to 42.57, 64.08 and 39.94 is: 60.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 64.08 = 39.94 : x
  2. Step 2: Convert to fraction form
    42.57/64.08 = 39.94/x
  3. Step 3: Cross multiply
    42.57x = 64.08 × 39.94
  4. Step 4: Simplify right side
    42.57x = 2,559.20
  5. Step 5: Solve for x
    x = 2,559.20/42.57
  6. Step 6: Final answer
    x = 60.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.