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Finding the Fourth Proportional to 67.10, 100.65 and 23.76

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Solution

The fourth proportional to 67.10, 100.65 and 23.76 is: 35.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.10 : 100.65 = 23.76 : x
  2. Step 2: Convert to fraction form
    67.10/100.65 = 23.76/x
  3. Step 3: Cross multiply
    67.10x = 100.65 × 23.76
  4. Step 4: Simplify right side
    67.10x = 2,391.53
  5. Step 5: Solve for x
    x = 2,391.53/67.10
  6. Step 6: Final answer
    x = 35.64

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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.