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Finding the Fourth Proportional to 124.59, 172.01 and 83.24

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Solution

The fourth proportional to 124.59, 172.01 and 83.24 is: 114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.59 : 172.01 = 83.24 : x
  2. Step 2: Convert to fraction form
    124.59/172.01 = 83.24/x
  3. Step 3: Cross multiply
    124.59x = 172.01 × 83.24
  4. Step 4: Simplify right side
    124.59x = 14,318.13
  5. Step 5: Solve for x
    x = 14,318.13/124.59
  6. Step 6: Final answer
    x = 114.92

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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.