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Finding the Fourth Proportional to 151.40, 227.13 and 82.89

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Solution

The fourth proportional to 151.40, 227.13 and 82.89 is: 124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.40 : 227.13 = 82.89 : x
  2. Step 2: Convert to fraction form
    151.40/227.13 = 82.89/x
  3. Step 3: Cross multiply
    151.40x = 227.13 × 82.89
  4. Step 4: Simplify right side
    151.40x = 18,826.45
  5. Step 5: Solve for x
    x = 18,826.45/151.40
  6. Step 6: Final answer
    x = 124.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.