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Finding the Fourth Proportional to 124.24, 171.18 and 102.40

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Solution

The fourth proportional to 124.24, 171.18 and 102.40 is: 141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.24 : 171.18 = 102.40 : x
  2. Step 2: Convert to fraction form
    124.24/171.18 = 102.40/x
  3. Step 3: Cross multiply
    124.24x = 171.18 × 102.40
  4. Step 4: Simplify right side
    124.24x = 17,528.83
  5. Step 5: Solve for x
    x = 17,528.83/124.24
  6. Step 6: Final answer
    x = 141.09

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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.