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Finding the Fourth Proportional to 113.43, 171.06 and 100.71

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Solution

The fourth proportional to 113.43, 171.06 and 100.71 is: 151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.43 : 171.06 = 100.71 : x
  2. Step 2: Convert to fraction form
    113.43/171.06 = 100.71/x
  3. Step 3: Cross multiply
    113.43x = 171.06 × 100.71
  4. Step 4: Simplify right side
    113.43x = 17,227.45
  5. Step 5: Solve for x
    x = 17,227.45/113.43
  6. Step 6: Final answer
    x = 151.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.