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Finding the Fourth Proportional to 65.96, 98.56 and 49.38

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Solution

The fourth proportional to 65.96, 98.56 and 49.38 is: 73.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.96 : 98.56 = 49.38 : x
  2. Step 2: Convert to fraction form
    65.96/98.56 = 49.38/x
  3. Step 3: Cross multiply
    65.96x = 98.56 × 49.38
  4. Step 4: Simplify right side
    65.96x = 4,866.91
  5. Step 5: Solve for x
    x = 4,866.91/65.96
  6. Step 6: Final answer
    x = 73.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.