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Finding the Fourth Proportional to 106.79, 160.16 and 34.65

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Solution

The fourth proportional to 106.79, 160.16 and 34.65 is: 51.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.79 : 160.16 = 34.65 : x
  2. Step 2: Convert to fraction form
    106.79/160.16 = 34.65/x
  3. Step 3: Cross multiply
    106.79x = 160.16 × 34.65
  4. Step 4: Simplify right side
    106.79x = 5,549.37
  5. Step 5: Solve for x
    x = 5,549.37/106.79
  6. Step 6: Final answer
    x = 51.97

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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.