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Finding the Fourth Proportional to 113.84, 170.34 and 68.02

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Solution

The fourth proportional to 113.84, 170.34 and 68.02 is: 101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.84 : 170.34 = 68.02 : x
  2. Step 2: Convert to fraction form
    113.84/170.34 = 68.02/x
  3. Step 3: Cross multiply
    113.84x = 170.34 × 68.02
  4. Step 4: Simplify right side
    113.84x = 11,586.53
  5. Step 5: Solve for x
    x = 11,586.53/113.84
  6. Step 6: Final answer
    x = 101.78

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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.