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Finding the Fourth Proportional to 67.53, 92.87 and 59.78

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Solution

The fourth proportional to 67.53, 92.87 and 59.78 is: 82.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.53 : 92.87 = 59.78 : x
  2. Step 2: Convert to fraction form
    67.53/92.87 = 59.78/x
  3. Step 3: Cross multiply
    67.53x = 92.87 × 59.78
  4. Step 4: Simplify right side
    67.53x = 5,551.01
  5. Step 5: Solve for x
    x = 5,551.01/67.53
  6. Step 6: Final answer
    x = 82.20

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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.