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Finding the Fourth Proportional to 126.07, 174.03 and 89.23

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Solution

The fourth proportional to 126.07, 174.03 and 89.23 is: 123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.07 : 174.03 = 89.23 : x
  2. Step 2: Convert to fraction form
    126.07/174.03 = 89.23/x
  3. Step 3: Cross multiply
    126.07x = 174.03 × 89.23
  4. Step 4: Simplify right side
    126.07x = 15,528.70
  5. Step 5: Solve for x
    x = 15,528.70/126.07
  6. Step 6: Final answer
    x = 123.18

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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.