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Finding the Fourth Proportional to 106.71, 159.75 and 96.57

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Solution

The fourth proportional to 106.71, 159.75 and 96.57 is: 144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.71 : 159.75 = 96.57 : x
  2. Step 2: Convert to fraction form
    106.71/159.75 = 96.57/x
  3. Step 3: Cross multiply
    106.71x = 159.75 × 96.57
  4. Step 4: Simplify right side
    106.71x = 15,426.57
  5. Step 5: Solve for x
    x = 15,426.57/106.71
  6. Step 6: Final answer
    x = 144.57

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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.