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Finding the Fourth Proportional to 126.74, 174.72 and 99.08

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Solution

The fourth proportional to 126.74, 174.72 and 99.08 is: 136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.74 : 174.72 = 99.08 : x
  2. Step 2: Convert to fraction form
    126.74/174.72 = 99.08/x
  3. Step 3: Cross multiply
    126.74x = 174.72 × 99.08
  4. Step 4: Simplify right side
    126.74x = 17,311.26
  5. Step 5: Solve for x
    x = 17,311.26/126.74
  6. Step 6: Final answer
    x = 136.59

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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.