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Finding the Fourth Proportional to 106.51, 159.67 and 83.78

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Solution

The fourth proportional to 106.51, 159.67 and 83.78 is: 125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.51 : 159.67 = 83.78 : x
  2. Step 2: Convert to fraction form
    106.51/159.67 = 83.78/x
  3. Step 3: Cross multiply
    106.51x = 159.67 × 83.78
  4. Step 4: Simplify right side
    106.51x = 13,376.73
  5. Step 5: Solve for x
    x = 13,376.73/106.51
  6. Step 6: Final answer
    x = 125.60

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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.