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Finding the Fourth Proportional to 91.95, 138.05 and 63.20

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Solution

The fourth proportional to 91.95, 138.05 and 63.20 is: 94.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.95 : 138.05 = 63.20 : x
  2. Step 2: Convert to fraction form
    91.95/138.05 = 63.20/x
  3. Step 3: Cross multiply
    91.95x = 138.05 × 63.20
  4. Step 4: Simplify right side
    91.95x = 8,723.75
  5. Step 5: Solve for x
    x = 8,723.75/91.95
  6. Step 6: Final answer
    x = 94.87

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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.