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Finding the Fourth Proportional to 75.66, 113.46 and 24.29

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Solution

The fourth proportional to 75.66, 113.46 and 24.29 is: 36.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.66 : 113.46 = 24.29 : x
  2. Step 2: Convert to fraction form
    75.66/113.46 = 24.29/x
  3. Step 3: Cross multiply
    75.66x = 113.46 × 24.29
  4. Step 4: Simplify right side
    75.66x = 2,755.94
  5. Step 5: Solve for x
    x = 2,755.94/75.66
  6. Step 6: Final answer
    x = 36.43

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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.