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Finding the Fourth Proportional to 106.28, 159.44 and 60.68

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Solution

The fourth proportional to 106.28, 159.44 and 60.68 is: 91.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.28 : 159.44 = 60.68 : x
  2. Step 2: Convert to fraction form
    106.28/159.44 = 60.68/x
  3. Step 3: Cross multiply
    106.28x = 159.44 × 60.68
  4. Step 4: Simplify right side
    106.28x = 9,674.82
  5. Step 5: Solve for x
    x = 9,674.82/106.28
  6. Step 6: Final answer
    x = 91.03

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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.