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Finding the Fourth Proportional to 126.72, 174.60 and 89.82

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Solution

The fourth proportional to 126.72, 174.60 and 89.82 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.72 : 174.60 = 89.82 : x
  2. Step 2: Convert to fraction form
    126.72/174.60 = 89.82/x
  3. Step 3: Cross multiply
    126.72x = 174.60 × 89.82
  4. Step 4: Simplify right side
    126.72x = 15,682.57
  5. Step 5: Solve for x
    x = 15,682.57/126.72
  6. Step 6: Final answer
    x = 123.76

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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.