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Finding the Fourth Proportional to 126.90, 174.87 and 89.96

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Solution

The fourth proportional to 126.90, 174.87 and 89.96 is: 123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.90 : 174.87 = 89.96 : x
  2. Step 2: Convert to fraction form
    126.90/174.87 = 89.96/x
  3. Step 3: Cross multiply
    126.90x = 174.87 × 89.96
  4. Step 4: Simplify right side
    126.90x = 15,730.43
  5. Step 5: Solve for x
    x = 15,730.43/126.90
  6. Step 6: Final answer
    x = 123.96

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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.