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Finding the Fourth Proportional to 40.07, 55.24 and 38.10

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Solution

The fourth proportional to 40.07, 55.24 and 38.10 is: 52.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.07 : 55.24 = 38.10 : x
  2. Step 2: Convert to fraction form
    40.07/55.24 = 38.10/x
  3. Step 3: Cross multiply
    40.07x = 55.24 × 38.10
  4. Step 4: Simplify right side
    40.07x = 2,104.64
  5. Step 5: Solve for x
    x = 2,104.64/40.07
  6. Step 6: Final answer
    x = 52.52

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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.