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Finding the Fourth Proportional to 97.45, 134.27 and 69.42

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Solution

The fourth proportional to 97.45, 134.27 and 69.42 is: 95.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.45 : 134.27 = 69.42 : x
  2. Step 2: Convert to fraction form
    97.45/134.27 = 69.42/x
  3. Step 3: Cross multiply
    97.45x = 134.27 × 69.42
  4. Step 4: Simplify right side
    97.45x = 9,321.02
  5. Step 5: Solve for x
    x = 9,321.02/97.45
  6. Step 6: Final answer
    x = 95.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.