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Finding the Fourth Proportional to 67.78, 93.54 and 38.67

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Solution

The fourth proportional to 67.78, 93.54 and 38.67 is: 53.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.78 : 93.54 = 38.67 : x
  2. Step 2: Convert to fraction form
    67.78/93.54 = 38.67/x
  3. Step 3: Cross multiply
    67.78x = 93.54 × 38.67
  4. Step 4: Simplify right side
    67.78x = 3,617.29
  5. Step 5: Solve for x
    x = 3,617.29/67.78
  6. Step 6: Final answer
    x = 53.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.