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Finding the Fourth Proportional to 75.38, 113.02 and 53.71

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Solution

The fourth proportional to 75.38, 113.02 and 53.71 is: 80.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 113.02 = 53.71 : x
  2. Step 2: Convert to fraction form
    75.38/113.02 = 53.71/x
  3. Step 3: Cross multiply
    75.38x = 113.02 × 53.71
  4. Step 4: Simplify right side
    75.38x = 6,069.89
  5. Step 5: Solve for x
    x = 6,069.89/75.38
  6. Step 6: Final answer
    x = 80.53

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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.