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Finding the Fourth Proportional to 106.28, 159.50 and 57.56

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Solution

The fourth proportional to 106.28, 159.50 and 57.56 is: 86.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.28 : 159.50 = 57.56 : x
  2. Step 2: Convert to fraction form
    106.28/159.50 = 57.56/x
  3. Step 3: Cross multiply
    106.28x = 159.50 × 57.56
  4. Step 4: Simplify right side
    106.28x = 9,180.82
  5. Step 5: Solve for x
    x = 9,180.82/106.28
  6. Step 6: Final answer
    x = 86.38

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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.