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Finding the Fourth Proportional to 75.38, 104.01 and 52.12

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Solution

The fourth proportional to 75.38, 104.01 and 52.12 is: 71.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 104.01 = 52.12 : x
  2. Step 2: Convert to fraction form
    75.38/104.01 = 52.12/x
  3. Step 3: Cross multiply
    75.38x = 104.01 × 52.12
  4. Step 4: Simplify right side
    75.38x = 5,421.13
  5. Step 5: Solve for x
    x = 5,421.13/75.38
  6. Step 6: Final answer
    x = 71.92

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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.