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Finding the Fourth Proportional to 91.16, 126.02 and 76.60

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Solution

The fourth proportional to 91.16, 126.02 and 76.60 is: 105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.16 : 126.02 = 76.60 : x
  2. Step 2: Convert to fraction form
    91.16/126.02 = 76.60/x
  3. Step 3: Cross multiply
    91.16x = 126.02 × 76.60
  4. Step 4: Simplify right side
    91.16x = 9,653.13
  5. Step 5: Solve for x
    x = 9,653.13/91.16
  6. Step 6: Final answer
    x = 105.89

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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.