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Finding the Fourth Proportional to 69.86, 96.29 and 49.11

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Solution

The fourth proportional to 69.86, 96.29 and 49.11 is: 67.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.86 : 96.29 = 49.11 : x
  2. Step 2: Convert to fraction form
    69.86/96.29 = 49.11/x
  3. Step 3: Cross multiply
    69.86x = 96.29 × 49.11
  4. Step 4: Simplify right side
    69.86x = 4,728.38
  5. Step 5: Solve for x
    x = 4,728.38/69.86
  6. Step 6: Final answer
    x = 67.68

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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.