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Finding the Fourth Proportional to 106.53, 159.81 and 55.23

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Solution

The fourth proportional to 106.53, 159.81 and 55.23 is: 82.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.53 : 159.81 = 55.23 : x
  2. Step 2: Convert to fraction form
    106.53/159.81 = 55.23/x
  3. Step 3: Cross multiply
    106.53x = 159.81 × 55.23
  4. Step 4: Simplify right side
    106.53x = 8,826.31
  5. Step 5: Solve for x
    x = 8,826.31/106.53
  6. Step 6: Final answer
    x = 82.85

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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.