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Finding the Fourth Proportional to 126.76, 174.90 and 87.88

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Solution

The fourth proportional to 126.76, 174.90 and 87.88 is: 121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.76 : 174.90 = 87.88 : x
  2. Step 2: Convert to fraction form
    126.76/174.90 = 87.88/x
  3. Step 3: Cross multiply
    126.76x = 174.90 × 87.88
  4. Step 4: Simplify right side
    126.76x = 15,370.21
  5. Step 5: Solve for x
    x = 15,370.21/126.76
  6. Step 6: Final answer
    x = 121.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.