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Finding the Fourth Proportional to 106.46, 159.69 and 34.31

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Solution

The fourth proportional to 106.46, 159.69 and 34.31 is: 51.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 159.69 = 34.31 : x
  2. Step 2: Convert to fraction form
    106.46/159.69 = 34.31/x
  3. Step 3: Cross multiply
    106.46x = 159.69 × 34.31
  4. Step 4: Simplify right side
    106.46x = 5,479.36
  5. Step 5: Solve for x
    x = 5,479.36/106.46
  6. Step 6: Final answer
    x = 51.47

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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.