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Finding the Fourth Proportional to 106.13, 159.12 and 71.84

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Solution

The fourth proportional to 106.13, 159.12 and 71.84 is: 107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 159.12 = 71.84 : x
  2. Step 2: Convert to fraction form
    106.13/159.12 = 71.84/x
  3. Step 3: Cross multiply
    106.13x = 159.12 × 71.84
  4. Step 4: Simplify right side
    106.13x = 11,430.39
  5. Step 5: Solve for x
    x = 11,430.39/106.13
  6. Step 6: Final answer
    x = 107.71

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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.