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Finding the Fourth Proportional to 112.68, 155.34 and 87.96

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Solution

The fourth proportional to 112.68, 155.34 and 87.96 is: 121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.68 : 155.34 = 87.96 : x
  2. Step 2: Convert to fraction form
    112.68/155.34 = 87.96/x
  3. Step 3: Cross multiply
    112.68x = 155.34 × 87.96
  4. Step 4: Simplify right side
    112.68x = 13,663.71
  5. Step 5: Solve for x
    x = 13,663.71/112.68
  6. Step 6: Final answer
    x = 121.26

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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.