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Finding the Fourth Proportional to 67.98, 102.09 and 65.10

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Solution

The fourth proportional to 67.98, 102.09 and 65.10 is: 97.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.98 : 102.09 = 65.10 : x
  2. Step 2: Convert to fraction form
    67.98/102.09 = 65.10/x
  3. Step 3: Cross multiply
    67.98x = 102.09 × 65.10
  4. Step 4: Simplify right side
    67.98x = 6,646.06
  5. Step 5: Solve for x
    x = 6,646.06/67.98
  6. Step 6: Final answer
    x = 97.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.