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Finding the Fourth Proportional to 67.24, 100.77 and 35.14

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Solution

The fourth proportional to 67.24, 100.77 and 35.14 is: 52.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.24 : 100.77 = 35.14 : x
  2. Step 2: Convert to fraction form
    67.24/100.77 = 35.14/x
  3. Step 3: Cross multiply
    67.24x = 100.77 × 35.14
  4. Step 4: Simplify right side
    67.24x = 3,541.06
  5. Step 5: Solve for x
    x = 3,541.06/67.24
  6. Step 6: Final answer
    x = 52.66

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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.