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Finding the Fourth Proportional to 124.53, 171.78 and 83.09

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Solution

The fourth proportional to 124.53, 171.78 and 83.09 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.53 : 171.78 = 83.09 : x
  2. Step 2: Convert to fraction form
    124.53/171.78 = 83.09/x
  3. Step 3: Cross multiply
    124.53x = 171.78 × 83.09
  4. Step 4: Simplify right side
    124.53x = 14,273.20
  5. Step 5: Solve for x
    x = 14,273.20/124.53
  6. Step 6: Final answer
    x = 114.62

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Why These Related Problems?

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