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Finding the Fourth Proportional to 151.85, 209.60 and 89.68

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Solution

The fourth proportional to 151.85, 209.60 and 89.68 is: 123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.85 : 209.60 = 89.68 : x
  2. Step 2: Convert to fraction form
    151.85/209.60 = 89.68/x
  3. Step 3: Cross multiply
    151.85x = 209.60 × 89.68
  4. Step 4: Simplify right side
    151.85x = 18,796.48
  5. Step 5: Solve for x
    x = 18,796.48/151.85
  6. Step 6: Final answer
    x = 123.78

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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.