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Finding the Fourth Proportional to 91.26, 126.54 and 83.16

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Solution

The fourth proportional to 91.26, 126.54 and 83.16 is: 115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.26 : 126.54 = 83.16 : x
  2. Step 2: Convert to fraction form
    91.26/126.54 = 83.16/x
  3. Step 3: Cross multiply
    91.26x = 126.54 × 83.16
  4. Step 4: Simplify right side
    91.26x = 10,523.07
  5. Step 5: Solve for x
    x = 10,523.07/91.26
  6. Step 6: Final answer
    x = 115.31

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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.