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Finding the Fourth Proportional to 126.17, 174.09 and 73.70

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Solution

The fourth proportional to 126.17, 174.09 and 73.70 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.17 : 174.09 = 73.70 : x
  2. Step 2: Convert to fraction form
    126.17/174.09 = 73.70/x
  3. Step 3: Cross multiply
    126.17x = 174.09 × 73.70
  4. Step 4: Simplify right side
    126.17x = 12,830.43
  5. Step 5: Solve for x
    x = 12,830.43/126.17
  6. Step 6: Final answer
    x = 101.69

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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.