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Finding the Fourth Proportional to 106.12, 159.18 and 82.24

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Solution

The fourth proportional to 106.12, 159.18 and 82.24 is: 123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.12 : 159.18 = 82.24 : x
  2. Step 2: Convert to fraction form
    106.12/159.18 = 82.24/x
  3. Step 3: Cross multiply
    106.12x = 159.18 × 82.24
  4. Step 4: Simplify right side
    106.12x = 13,090.96
  5. Step 5: Solve for x
    x = 13,090.96/106.12
  6. Step 6: Final answer
    x = 123.36

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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.