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Finding the Fourth Proportional to 69.96, 96.54 and 55.38

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Solution

The fourth proportional to 69.96, 96.54 and 55.38 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.96 : 96.54 = 55.38 : x
  2. Step 2: Convert to fraction form
    69.96/96.54 = 55.38/x
  3. Step 3: Cross multiply
    69.96x = 96.54 × 55.38
  4. Step 4: Simplify right side
    69.96x = 5,346.39
  5. Step 5: Solve for x
    x = 5,346.39/69.96
  6. Step 6: Final answer
    x = 76.42

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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.