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Finding the Fourth Proportional to 126.53, 174.03 and 101.91

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Solution

The fourth proportional to 126.53, 174.03 and 101.91 is: 140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.53 : 174.03 = 101.91 : x
  2. Step 2: Convert to fraction form
    126.53/174.03 = 101.91/x
  3. Step 3: Cross multiply
    126.53x = 174.03 × 101.91
  4. Step 4: Simplify right side
    126.53x = 17,735.40
  5. Step 5: Solve for x
    x = 17,735.40/126.53
  6. Step 6: Final answer
    x = 140.17

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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.