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Finding the Fourth Proportional to 109.75, 151.32 and 87.88

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Solution

The fourth proportional to 109.75, 151.32 and 87.88 is: 121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 151.32 = 87.88 : x
  2. Step 2: Convert to fraction form
    109.75/151.32 = 87.88/x
  3. Step 3: Cross multiply
    109.75x = 151.32 × 87.88
  4. Step 4: Simplify right side
    109.75x = 13,298.00
  5. Step 5: Solve for x
    x = 13,298.00/109.75
  6. Step 6: Final answer
    x = 121.17

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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.