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Finding the Fourth Proportional to 91.27, 125.95 and 49.82

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Solution

The fourth proportional to 91.27, 125.95 and 49.82 is: 68.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.27 : 125.95 = 49.82 : x
  2. Step 2: Convert to fraction form
    91.27/125.95 = 49.82/x
  3. Step 3: Cross multiply
    91.27x = 125.95 × 49.82
  4. Step 4: Simplify right side
    91.27x = 6,275.37
  5. Step 5: Solve for x
    x = 6,275.37/91.27
  6. Step 6: Final answer
    x = 68.76

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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.