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Finding the Fourth Proportional to 42.47, 58.63 and 40.54

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Solution

The fourth proportional to 42.47, 58.63 and 40.54 is: 55.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.47 : 58.63 = 40.54 : x
  2. Step 2: Convert to fraction form
    42.47/58.63 = 40.54/x
  3. Step 3: Cross multiply
    42.47x = 58.63 × 40.54
  4. Step 4: Simplify right side
    42.47x = 2,376.57
  5. Step 5: Solve for x
    x = 2,376.57/42.47
  6. Step 6: Final answer
    x = 55.97

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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.