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Finding the Fourth Proportional to 97.19, 145.52 and 82

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Solution

The fourth proportional to 97.19, 145.52 and 82 is: 122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.19 : 145.52 = 82 : x
  2. Step 2: Convert to fraction form
    97.19/145.52 = 82/x
  3. Step 3: Cross multiply
    97.19x = 145.52 × 82
  4. Step 4: Simplify right side
    97.19x = 11,932.64
  5. Step 5: Solve for x
    x = 11,932.64/97.19
  6. Step 6: Final answer
    x = 122.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.