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Finding the Fourth Proportional to 91.12, 125.16 and 76.56

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Solution

The fourth proportional to 91.12, 125.16 and 76.56 is: 105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.12 : 125.16 = 76.56 : x
  2. Step 2: Convert to fraction form
    91.12/125.16 = 76.56/x
  3. Step 3: Cross multiply
    91.12x = 125.16 × 76.56
  4. Step 4: Simplify right side
    91.12x = 9,582.25
  5. Step 5: Solve for x
    x = 9,582.25/91.12
  6. Step 6: Final answer
    x = 105.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.