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Finding the Fourth Proportional to 126.79, 175.01 and 71.56

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Solution

The fourth proportional to 126.79, 175.01 and 71.56 is: 98.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.79 : 175.01 = 71.56 : x
  2. Step 2: Convert to fraction form
    126.79/175.01 = 71.56/x
  3. Step 3: Cross multiply
    126.79x = 175.01 × 71.56
  4. Step 4: Simplify right side
    126.79x = 12,523.88
  5. Step 5: Solve for x
    x = 12,523.88/126.79
  6. Step 6: Final answer
    x = 98.77

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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.