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Finding the Fourth Proportional to 106.14, 159.84 and 92.78

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Solution

The fourth proportional to 106.14, 159.84 and 92.78 is: 139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.14 : 159.84 = 92.78 : x
  2. Step 2: Convert to fraction form
    106.14/159.84 = 92.78/x
  3. Step 3: Cross multiply
    106.14x = 159.84 × 92.78
  4. Step 4: Simplify right side
    106.14x = 14,829.16
  5. Step 5: Solve for x
    x = 14,829.16/106.14
  6. Step 6: Final answer
    x = 139.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.