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Finding the Fourth Proportional to 113.46, 170.17 and 32.29

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Solution

The fourth proportional to 113.46, 170.17 and 32.29 is: 48.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.46 : 170.17 = 32.29 : x
  2. Step 2: Convert to fraction form
    113.46/170.17 = 32.29/x
  3. Step 3: Cross multiply
    113.46x = 170.17 × 32.29
  4. Step 4: Simplify right side
    113.46x = 5,494.79
  5. Step 5: Solve for x
    x = 5,494.79/113.46
  6. Step 6: Final answer
    x = 48.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.