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Finding the Fourth Proportional to 106.65, 159.96 and 34.50

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Solution

The fourth proportional to 106.65, 159.96 and 34.50 is: 51.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.65 : 159.96 = 34.50 : x
  2. Step 2: Convert to fraction form
    106.65/159.96 = 34.50/x
  3. Step 3: Cross multiply
    106.65x = 159.96 × 34.50
  4. Step 4: Simplify right side
    106.65x = 5,518.62
  5. Step 5: Solve for x
    x = 5,518.62/106.65
  6. Step 6: Final answer
    x = 51.75

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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.