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Finding the Fourth Proportional to 80.02, 110.64 and 67.78

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Solution

The fourth proportional to 80.02, 110.64 and 67.78 is: 93.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.02 : 110.64 = 67.78 : x
  2. Step 2: Convert to fraction form
    80.02/110.64 = 67.78/x
  3. Step 3: Cross multiply
    80.02x = 110.64 × 67.78
  4. Step 4: Simplify right side
    80.02x = 7,499.18
  5. Step 5: Solve for x
    x = 7,499.18/80.02
  6. Step 6: Final answer
    x = 93.72

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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.