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Finding the Fourth Proportional to 67.49, 93.20 and 53.67

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Solution

The fourth proportional to 67.49, 93.20 and 53.67 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.49 : 93.20 = 53.67 : x
  2. Step 2: Convert to fraction form
    67.49/93.20 = 53.67/x
  3. Step 3: Cross multiply
    67.49x = 93.20 × 53.67
  4. Step 4: Simplify right side
    67.49x = 5,001.78
  5. Step 5: Solve for x
    x = 5,001.78/67.49
  6. Step 6: Final answer
    x = 74.12

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