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Finding the Fourth Proportional to 106, 159.06 and 67.54

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Solution

The fourth proportional to 106, 159.06 and 67.54 is: 101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 159.06 = 67.54 : x
  2. Step 2: Convert to fraction form
    106/159.06 = 67.54/x
  3. Step 3: Cross multiply
    106x = 159.06 × 67.54
  4. Step 4: Simplify right side
    106x = 10,742.91
  5. Step 5: Solve for x
    x = 10,742.91/106
  6. Step 6: Final answer
    x = 101.35

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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.