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Finding the Fourth Proportional to 106.16, 159.03 and 77.27

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Solution

The fourth proportional to 106.16, 159.03 and 77.27 is: 115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.16 : 159.03 = 77.27 : x
  2. Step 2: Convert to fraction form
    106.16/159.03 = 77.27/x
  3. Step 3: Cross multiply
    106.16x = 159.03 × 77.27
  4. Step 4: Simplify right side
    106.16x = 12,287.45
  5. Step 5: Solve for x
    x = 12,287.45/106.16
  6. Step 6: Final answer
    x = 115.75

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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.