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Finding the Fourth Proportional to 68.98, 102.92 and 68.30

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Solution

The fourth proportional to 68.98, 102.92 and 68.30 is: 101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.98 : 102.92 = 68.30 : x
  2. Step 2: Convert to fraction form
    68.98/102.92 = 68.30/x
  3. Step 3: Cross multiply
    68.98x = 102.92 × 68.30
  4. Step 4: Simplify right side
    68.98x = 7,029.44
  5. Step 5: Solve for x
    x = 7,029.44/68.98
  6. Step 6: Final answer
    x = 101.91

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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.