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Finding the Fourth Proportional to 106.23, 159.39 and 54.84

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Solution

The fourth proportional to 106.23, 159.39 and 54.84 is: 82.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.23 : 159.39 = 54.84 : x
  2. Step 2: Convert to fraction form
    106.23/159.39 = 54.84/x
  3. Step 3: Cross multiply
    106.23x = 159.39 × 54.84
  4. Step 4: Simplify right side
    106.23x = 8,741.40
  5. Step 5: Solve for x
    x = 8,741.40/106.23
  6. Step 6: Final answer
    x = 82.28

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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.