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Finding the Fourth Proportional to 151.72, 209.45 and 124.38

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Solution

The fourth proportional to 151.72, 209.45 and 124.38 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.72 : 209.45 = 124.38 : x
  2. Step 2: Convert to fraction form
    151.72/209.45 = 124.38/x
  3. Step 3: Cross multiply
    151.72x = 209.45 × 124.38
  4. Step 4: Simplify right side
    151.72x = 26,051.39
  5. Step 5: Solve for x
    x = 26,051.39/151.72
  6. Step 6: Final answer
    x = 171.71

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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.