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Finding the Fourth Proportional to 67.35, 101.06 and 26.76

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Solution

The fourth proportional to 67.35, 101.06 and 26.76 is: 40.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.35 : 101.06 = 26.76 : x
  2. Step 2: Convert to fraction form
    67.35/101.06 = 26.76/x
  3. Step 3: Cross multiply
    67.35x = 101.06 × 26.76
  4. Step 4: Simplify right side
    67.35x = 2,704.69
  5. Step 5: Solve for x
    x = 2,704.69/67.35
  6. Step 6: Final answer
    x = 40.16

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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.