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Finding the Fourth Proportional to 91.16, 126.66 and 90.80

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Solution

The fourth proportional to 91.16, 126.66 and 90.80 is: 126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.16 : 126.66 = 90.80 : x
  2. Step 2: Convert to fraction form
    91.16/126.66 = 90.80/x
  3. Step 3: Cross multiply
    91.16x = 126.66 × 90.80
  4. Step 4: Simplify right side
    91.16x = 11,500.73
  5. Step 5: Solve for x
    x = 11,500.73/91.16
  6. Step 6: Final answer
    x = 126.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.