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Finding the Fourth Proportional to 75.38, 104.02 and 52.07

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Solution

The fourth proportional to 75.38, 104.02 and 52.07 is: 71.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 104.02 = 52.07 : x
  2. Step 2: Convert to fraction form
    75.38/104.02 = 52.07/x
  3. Step 3: Cross multiply
    75.38x = 104.02 × 52.07
  4. Step 4: Simplify right side
    75.38x = 5,415.67
  5. Step 5: Solve for x
    x = 5,415.67/75.38
  6. Step 6: Final answer
    x = 71.85

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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.