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Finding the Fourth Proportional to 67.48, 100.61 and 65.80

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Solution

The fourth proportional to 67.48, 100.61 and 65.80 is: 98.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.48 : 100.61 = 65.80 : x
  2. Step 2: Convert to fraction form
    67.48/100.61 = 65.80/x
  3. Step 3: Cross multiply
    67.48x = 100.61 × 65.80
  4. Step 4: Simplify right side
    67.48x = 6,620.14
  5. Step 5: Solve for x
    x = 6,620.14/67.48
  6. Step 6: Final answer
    x = 98.11

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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.