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Finding the Fourth Proportional to 113.38, 170.07 and 55.65

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Solution

The fourth proportional to 113.38, 170.07 and 55.65 is: 83.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.38 : 170.07 = 55.65 : x
  2. Step 2: Convert to fraction form
    113.38/170.07 = 55.65/x
  3. Step 3: Cross multiply
    113.38x = 170.07 × 55.65
  4. Step 4: Simplify right side
    113.38x = 9,464.40
  5. Step 5: Solve for x
    x = 9,464.40/113.38
  6. Step 6: Final answer
    x = 83.48

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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.