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Finding the Fourth Proportional to 124.80, 171.72 and 98.88

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Solution

The fourth proportional to 124.80, 171.72 and 98.88 is: 136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.80 : 171.72 = 98.88 : x
  2. Step 2: Convert to fraction form
    124.80/171.72 = 98.88/x
  3. Step 3: Cross multiply
    124.80x = 171.72 × 98.88
  4. Step 4: Simplify right side
    124.80x = 16,979.67
  5. Step 5: Solve for x
    x = 16,979.67/124.80
  6. Step 6: Final answer
    x = 136.06

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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.