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Finding the Fourth Proportional to 113.70, 170.40 and 68.09

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Solution

The fourth proportional to 113.70, 170.40 and 68.09 is: 102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.70 : 170.40 = 68.09 : x
  2. Step 2: Convert to fraction form
    113.70/170.40 = 68.09/x
  3. Step 3: Cross multiply
    113.70x = 170.40 × 68.09
  4. Step 4: Simplify right side
    113.70x = 11,602.90
  5. Step 5: Solve for x
    x = 11,602.90/113.70
  6. Step 6: Final answer
    x = 102.04

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