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Finding the Fourth Proportional to 75.43, 113.05 and 34.83

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Solution

The fourth proportional to 75.43, 113.05 and 34.83 is: 52.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.43 : 113.05 = 34.83 : x
  2. Step 2: Convert to fraction form
    75.43/113.05 = 34.83/x
  3. Step 3: Cross multiply
    75.43x = 113.05 × 34.83
  4. Step 4: Simplify right side
    75.43x = 3,937.38
  5. Step 5: Solve for x
    x = 3,937.38/75.43
  6. Step 6: Final answer
    x = 52.20

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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.