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Finding the Fourth Proportional to 67.50, 92.52 and 65.75

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Solution

The fourth proportional to 67.50, 92.52 and 65.75 is: 90.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 92.52 = 65.75 : x
  2. Step 2: Convert to fraction form
    67.50/92.52 = 65.75/x
  3. Step 3: Cross multiply
    67.50x = 92.52 × 65.75
  4. Step 4: Simplify right side
    67.50x = 6,082.73
  5. Step 5: Solve for x
    x = 6,082.73/67.50
  6. Step 6: Final answer
    x = 90.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.