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Finding the Fourth Proportional to 63.84, 88.10 and 34.73

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Solution

The fourth proportional to 63.84, 88.10 and 34.73 is: 47.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.84 : 88.10 = 34.73 : x
  2. Step 2: Convert to fraction form
    63.84/88.10 = 34.73/x
  3. Step 3: Cross multiply
    63.84x = 88.10 × 34.73
  4. Step 4: Simplify right side
    63.84x = 3,060.25
  5. Step 5: Solve for x
    x = 3,060.25/63.84
  6. Step 6: Final answer
    x = 47.93

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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.