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Finding the Fourth Proportional to 40.42, 55.73 and 29.53

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Solution

The fourth proportional to 40.42, 55.73 and 29.53 is: 40.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.42 : 55.73 = 29.53 : x
  2. Step 2: Convert to fraction form
    40.42/55.73 = 29.53/x
  3. Step 3: Cross multiply
    40.42x = 55.73 × 29.53
  4. Step 4: Simplify right side
    40.42x = 1,645.28
  5. Step 5: Solve for x
    x = 1,645.28/40.42
  6. Step 6: Final answer
    x = 40.71

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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.