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Finding the Fourth Proportional to 110.97, 153.07 and 87.62

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Solution

The fourth proportional to 110.97, 153.07 and 87.62 is: 120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.97 : 153.07 = 87.62 : x
  2. Step 2: Convert to fraction form
    110.97/153.07 = 87.62/x
  3. Step 3: Cross multiply
    110.97x = 153.07 × 87.62
  4. Step 4: Simplify right side
    110.97x = 13,411.01
  5. Step 5: Solve for x
    x = 13,411.01/110.97
  6. Step 6: Final answer
    x = 120.85

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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.