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Finding the Fourth Proportional to 113.58, 170.14 and 106.92

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Solution

The fourth proportional to 113.58, 170.14 and 106.92 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.58 : 170.14 = 106.92 : x
  2. Step 2: Convert to fraction form
    113.58/170.14 = 106.92/x
  3. Step 3: Cross multiply
    113.58x = 170.14 × 106.92
  4. Step 4: Simplify right side
    113.58x = 18,191.37
  5. Step 5: Solve for x
    x = 18,191.37/113.58
  6. Step 6: Final answer
    x = 160.16

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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.