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Finding the Fourth Proportional to 124.02, 171.15 and 86.68

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Solution

The fourth proportional to 124.02, 171.15 and 86.68 is: 119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.02 : 171.15 = 86.68 : x
  2. Step 2: Convert to fraction form
    124.02/171.15 = 86.68/x
  3. Step 3: Cross multiply
    124.02x = 171.15 × 86.68
  4. Step 4: Simplify right side
    124.02x = 14,835.42
  5. Step 5: Solve for x
    x = 14,835.42/124.02
  6. Step 6: Final answer
    x = 119.62

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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.