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Finding the Fourth Proportional to 67, 100.53 and 32.76

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Solution

The fourth proportional to 67, 100.53 and 32.76 is: 49.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 100.53 = 32.76 : x
  2. Step 2: Convert to fraction form
    67/100.53 = 32.76/x
  3. Step 3: Cross multiply
    67x = 100.53 × 32.76
  4. Step 4: Simplify right side
    67x = 3,292.86
  5. Step 5: Solve for x
    x = 3,292.86/67
  6. Step 6: Final answer
    x = 49.15

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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.