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Finding the Fourth Proportional to 40.52, 55.85 and 29.59

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Solution

The fourth proportional to 40.52, 55.85 and 29.59 is: 40.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.52 : 55.85 = 29.59 : x
  2. Step 2: Convert to fraction form
    40.52/55.85 = 29.59/x
  3. Step 3: Cross multiply
    40.52x = 55.85 × 29.59
  4. Step 4: Simplify right side
    40.52x = 1,652.31
  5. Step 5: Solve for x
    x = 1,652.31/40.52
  6. Step 6: Final answer
    x = 40.78

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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.