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Finding the Fourth Proportional to 63.96, 88.25 and 49.22

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Solution

The fourth proportional to 63.96, 88.25 and 49.22 is: 67.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.96 : 88.25 = 49.22 : x
  2. Step 2: Convert to fraction form
    63.96/88.25 = 49.22/x
  3. Step 3: Cross multiply
    63.96x = 88.25 × 49.22
  4. Step 4: Simplify right side
    63.96x = 4,343.07
  5. Step 5: Solve for x
    x = 4,343.07/63.96
  6. Step 6: Final answer
    x = 67.90

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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.