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Finding the Fourth Proportional to 113.97, 170.75 and 97.56

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Solution

The fourth proportional to 113.97, 170.75 and 97.56 is: 146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.97 : 170.75 = 97.56 : x
  2. Step 2: Convert to fraction form
    113.97/170.75 = 97.56/x
  3. Step 3: Cross multiply
    113.97x = 170.75 × 97.56
  4. Step 4: Simplify right side
    113.97x = 16,658.37
  5. Step 5: Solve for x
    x = 16,658.37/113.97
  6. Step 6: Final answer
    x = 146.16

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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.