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Finding the Fourth Proportional to 91.85, 126.68 and 71.09

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Solution

The fourth proportional to 91.85, 126.68 and 71.09 is: 98.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.85 : 126.68 = 71.09 : x
  2. Step 2: Convert to fraction form
    91.85/126.68 = 71.09/x
  3. Step 3: Cross multiply
    91.85x = 126.68 × 71.09
  4. Step 4: Simplify right side
    91.85x = 9,005.23
  5. Step 5: Solve for x
    x = 9,005.23/91.85
  6. Step 6: Final answer
    x = 98.05

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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.