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Finding the Fourth Proportional to 124.35, 171.53 and 99.75

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Solution

The fourth proportional to 124.35, 171.53 and 99.75 is: 137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.35 : 171.53 = 99.75 : x
  2. Step 2: Convert to fraction form
    124.35/171.53 = 99.75/x
  3. Step 3: Cross multiply
    124.35x = 171.53 × 99.75
  4. Step 4: Simplify right side
    124.35x = 17,109.62
  5. Step 5: Solve for x
    x = 17,109.62/124.35
  6. Step 6: Final answer
    x = 137.59

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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.