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Finding the Fourth Proportional to 107.12, 159.57 and 106.92

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Solution

The fourth proportional to 107.12, 159.57 and 106.92 is: 159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.12 : 159.57 = 106.92 : x
  2. Step 2: Convert to fraction form
    107.12/159.57 = 106.92/x
  3. Step 3: Cross multiply
    107.12x = 159.57 × 106.92
  4. Step 4: Simplify right side
    107.12x = 17,061.22
  5. Step 5: Solve for x
    x = 17,061.22/107.12
  6. Step 6: Final answer
    x = 159.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.