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Finding the Fourth Proportional to 106.28, 159 and 70.28

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Solution

The fourth proportional to 106.28, 159 and 70.28 is: 105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.28 : 159 = 70.28 : x
  2. Step 2: Convert to fraction form
    106.28/159 = 70.28/x
  3. Step 3: Cross multiply
    106.28x = 159 × 70.28
  4. Step 4: Simplify right side
    106.28x = 11,173.73
  5. Step 5: Solve for x
    x = 11,173.73/106.28
  6. Step 6: Final answer
    x = 105.14

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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.