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Finding the Fourth Proportional to 106, 159.12 and 54.68

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Solution

The fourth proportional to 106, 159.12 and 54.68 is: 82.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 159.12 = 54.68 : x
  2. Step 2: Convert to fraction form
    106/159.12 = 54.68/x
  3. Step 3: Cross multiply
    106x = 159.12 × 54.68
  4. Step 4: Simplify right side
    106x = 8,700.68
  5. Step 5: Solve for x
    x = 8,700.68/106
  6. Step 6: Final answer
    x = 82.08

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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.