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Finding the Fourth Proportional to 126.90, 174.87 and 94.10

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Solution

The fourth proportional to 126.90, 174.87 and 94.10 is: 129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.90 : 174.87 = 94.10 : x
  2. Step 2: Convert to fraction form
    126.90/174.87 = 94.10/x
  3. Step 3: Cross multiply
    126.90x = 174.87 × 94.10
  4. Step 4: Simplify right side
    126.90x = 16,454.39
  5. Step 5: Solve for x
    x = 16,454.39/126.90
  6. Step 6: Final answer
    x = 129.66

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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.