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Finding the Fourth Proportional to 109.82, 151.77 and 87.95

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Solution

The fourth proportional to 109.82, 151.77 and 87.95 is: 121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 151.77 = 87.95 : x
  2. Step 2: Convert to fraction form
    109.82/151.77 = 87.95/x
  3. Step 3: Cross multiply
    109.82x = 151.77 × 87.95
  4. Step 4: Simplify right side
    109.82x = 13,348.88
  5. Step 5: Solve for x
    x = 13,348.88/109.82
  6. Step 6: Final answer
    x = 121.55

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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.