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Finding the Fourth Proportional to 102.52, 153.82 and 38.38

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Solution

The fourth proportional to 102.52, 153.82 and 38.38 is: 57.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 153.82 = 38.38 : x
  2. Step 2: Convert to fraction form
    102.52/153.82 = 38.38/x
  3. Step 3: Cross multiply
    102.52x = 153.82 × 38.38
  4. Step 4: Simplify right side
    102.52x = 5,902.84
  5. Step 5: Solve for x
    x = 5,902.84/102.52
  6. Step 6: Final answer
    x = 57.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.