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Finding the Fourth Proportional to 67.52, 100.80 and 65.38

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Solution

The fourth proportional to 67.52, 100.80 and 65.38 is: 97.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.52 : 100.80 = 65.38 : x
  2. Step 2: Convert to fraction form
    67.52/100.80 = 65.38/x
  3. Step 3: Cross multiply
    67.52x = 100.80 × 65.38
  4. Step 4: Simplify right side
    67.52x = 6,590.30
  5. Step 5: Solve for x
    x = 6,590.30/67.52
  6. Step 6: Final answer
    x = 97.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.