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Finding the Fourth Proportional to 126.86, 175.22 and 98.10

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Solution

The fourth proportional to 126.86, 175.22 and 98.10 is: 135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.86 : 175.22 = 98.10 : x
  2. Step 2: Convert to fraction form
    126.86/175.22 = 98.10/x
  3. Step 3: Cross multiply
    126.86x = 175.22 × 98.10
  4. Step 4: Simplify right side
    126.86x = 17,189.08
  5. Step 5: Solve for x
    x = 17,189.08/126.86
  6. Step 6: Final answer
    x = 135.50

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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.