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Finding the Fourth Proportional to 40.38, 55.56 and 39.19

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Solution

The fourth proportional to 40.38, 55.56 and 39.19 is: 53.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.38 : 55.56 = 39.19 : x
  2. Step 2: Convert to fraction form
    40.38/55.56 = 39.19/x
  3. Step 3: Cross multiply
    40.38x = 55.56 × 39.19
  4. Step 4: Simplify right side
    40.38x = 2,177.08
  5. Step 5: Solve for x
    x = 2,177.08/40.38
  6. Step 6: Final answer
    x = 53.92

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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.