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Finding the Fourth Proportional to 113.68, 171.34 and 97.84

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Solution

The fourth proportional to 113.68, 171.34 and 97.84 is: 147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.68 : 171.34 = 97.84 : x
  2. Step 2: Convert to fraction form
    113.68/171.34 = 97.84/x
  3. Step 3: Cross multiply
    113.68x = 171.34 × 97.84
  4. Step 4: Simplify right side
    113.68x = 16,763.91
  5. Step 5: Solve for x
    x = 16,763.91/113.68
  6. Step 6: Final answer
    x = 147.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.