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Finding the Fourth Proportional to 126.66, 174.89 and 77.57

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Solution

The fourth proportional to 126.66, 174.89 and 77.57 is: 107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.66 : 174.89 = 77.57 : x
  2. Step 2: Convert to fraction form
    126.66/174.89 = 77.57/x
  3. Step 3: Cross multiply
    126.66x = 174.89 × 77.57
  4. Step 4: Simplify right side
    126.66x = 13,565.54
  5. Step 5: Solve for x
    x = 13,565.54/126.66
  6. Step 6: Final answer
    x = 107.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.