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Finding the Fourth Proportional to 126.47, 174.35 and 89.62

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Solution

The fourth proportional to 126.47, 174.35 and 89.62 is: 123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.47 : 174.35 = 89.62 : x
  2. Step 2: Convert to fraction form
    126.47/174.35 = 89.62/x
  3. Step 3: Cross multiply
    126.47x = 174.35 × 89.62
  4. Step 4: Simplify right side
    126.47x = 15,625.04
  5. Step 5: Solve for x
    x = 15,625.04/126.47
  6. Step 6: Final answer
    x = 123.54

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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.