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Finding the Fourth Proportional to 124.16, 171.21 and 82.71

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Solution

The fourth proportional to 124.16, 171.21 and 82.71 is: 114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.16 : 171.21 = 82.71 : x
  2. Step 2: Convert to fraction form
    124.16/171.21 = 82.71/x
  3. Step 3: Cross multiply
    124.16x = 171.21 × 82.71
  4. Step 4: Simplify right side
    124.16x = 14,161.09
  5. Step 5: Solve for x
    x = 14,161.09/124.16
  6. Step 6: Final answer
    x = 114.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.