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Finding the Fourth Proportional to 42.57, 58.64 and 39.43

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Solution

The fourth proportional to 42.57, 58.64 and 39.43 is: 54.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 58.64 = 39.43 : x
  2. Step 2: Convert to fraction form
    42.57/58.64 = 39.43/x
  3. Step 3: Cross multiply
    42.57x = 58.64 × 39.43
  4. Step 4: Simplify right side
    42.57x = 2,312.13
  5. Step 5: Solve for x
    x = 2,312.13/42.57
  6. Step 6: Final answer
    x = 54.31

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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.