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Finding the Fourth Proportional to 91.60, 137.20 and 76.24

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Solution

The fourth proportional to 91.60, 137.20 and 76.24 is: 114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.60 : 137.20 = 76.24 : x
  2. Step 2: Convert to fraction form
    91.60/137.20 = 76.24/x
  3. Step 3: Cross multiply
    91.60x = 137.20 × 76.24
  4. Step 4: Simplify right side
    91.60x = 10,460.13
  5. Step 5: Solve for x
    x = 10,460.13/91.60
  6. Step 6: Final answer
    x = 114.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.