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Finding the Fourth Proportional to 42.54, 58.78 and 40.32

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Solution

The fourth proportional to 42.54, 58.78 and 40.32 is: 55.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.54 : 58.78 = 40.32 : x
  2. Step 2: Convert to fraction form
    42.54/58.78 = 40.32/x
  3. Step 3: Cross multiply
    42.54x = 58.78 × 40.32
  4. Step 4: Simplify right side
    42.54x = 2,370.01
  5. Step 5: Solve for x
    x = 2,370.01/42.54
  6. Step 6: Final answer
    x = 55.71

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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.