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Finding the Fourth Proportional to 71.76, 98.92 and 49.89

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Solution

The fourth proportional to 71.76, 98.92 and 49.89 is: 68.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.76 : 98.92 = 49.89 : x
  2. Step 2: Convert to fraction form
    71.76/98.92 = 49.89/x
  3. Step 3: Cross multiply
    71.76x = 98.92 × 49.89
  4. Step 4: Simplify right side
    71.76x = 4,934.99
  5. Step 5: Solve for x
    x = 4,934.99/71.76
  6. Step 6: Final answer
    x = 68.77

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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.