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Finding the Fourth Proportional to 97.02, 133.94 and 69.48

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Solution

The fourth proportional to 97.02, 133.94 and 69.48 is: 95.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.02 : 133.94 = 69.48 : x
  2. Step 2: Convert to fraction form
    97.02/133.94 = 69.48/x
  3. Step 3: Cross multiply
    97.02x = 133.94 × 69.48
  4. Step 4: Simplify right side
    97.02x = 9,306.15
  5. Step 5: Solve for x
    x = 9,306.15/97.02
  6. Step 6: Final answer
    x = 95.92

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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.