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Finding the Fourth Proportional to 69.63, 96.08 and 38.54

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Solution

The fourth proportional to 69.63, 96.08 and 38.54 is: 53.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.63 : 96.08 = 38.54 : x
  2. Step 2: Convert to fraction form
    69.63/96.08 = 38.54/x
  3. Step 3: Cross multiply
    69.63x = 96.08 × 38.54
  4. Step 4: Simplify right side
    69.63x = 3,702.97
  5. Step 5: Solve for x
    x = 3,702.97/69.63
  6. Step 6: Final answer
    x = 53.18

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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.