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Finding the Fourth Proportional to 40.24, 55.47 and 38.35

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Solution

The fourth proportional to 40.24, 55.47 and 38.35 is: 52.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.24 : 55.47 = 38.35 : x
  2. Step 2: Convert to fraction form
    40.24/55.47 = 38.35/x
  3. Step 3: Cross multiply
    40.24x = 55.47 × 38.35
  4. Step 4: Simplify right side
    40.24x = 2,127.27
  5. Step 5: Solve for x
    x = 2,127.27/40.24
  6. Step 6: Final answer
    x = 52.86

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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.