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Finding the Fourth Proportional to 106, 159.08 and 41.88

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Solution

The fourth proportional to 106, 159.08 and 41.88 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 159.08 = 41.88 : x
  2. Step 2: Convert to fraction form
    106/159.08 = 41.88/x
  3. Step 3: Cross multiply
    106x = 159.08 × 41.88
  4. Step 4: Simplify right side
    106x = 6,662.27
  5. Step 5: Solve for x
    x = 6,662.27/106
  6. Step 6: Final answer
    x = 62.85

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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.