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Finding the Fourth Proportional to 151.85, 209.55 and 88.84

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Solution

The fourth proportional to 151.85, 209.55 and 88.84 is: 122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.85 : 209.55 = 88.84 : x
  2. Step 2: Convert to fraction form
    151.85/209.55 = 88.84/x
  3. Step 3: Cross multiply
    151.85x = 209.55 × 88.84
  4. Step 4: Simplify right side
    151.85x = 18,615.98
  5. Step 5: Solve for x
    x = 18,615.98/151.85
  6. Step 6: Final answer
    x = 122.59

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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.