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Finding the Fourth Proportional to 39.51, 54.10 and 38.15

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Solution

The fourth proportional to 39.51, 54.10 and 38.15 is: 52.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.51 : 54.10 = 38.15 : x
  2. Step 2: Convert to fraction form
    39.51/54.10 = 38.15/x
  3. Step 3: Cross multiply
    39.51x = 54.10 × 38.15
  4. Step 4: Simplify right side
    39.51x = 2,063.92
  5. Step 5: Solve for x
    x = 2,063.92/39.51
  6. Step 6: Final answer
    x = 52.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.