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Finding the Fourth Proportional to 67.29, 100.77 and 42.84

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Solution

The fourth proportional to 67.29, 100.77 and 42.84 is: 64.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.29 : 100.77 = 42.84 : x
  2. Step 2: Convert to fraction form
    67.29/100.77 = 42.84/x
  3. Step 3: Cross multiply
    67.29x = 100.77 × 42.84
  4. Step 4: Simplify right side
    67.29x = 4,316.77
  5. Step 5: Solve for x
    x = 4,316.77/67.29
  6. Step 6: Final answer
    x = 64.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.