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Finding the Fourth Proportional to 68.68, 102.40 and 65.96

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Solution

The fourth proportional to 68.68, 102.40 and 65.96 is: 98.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.68 : 102.40 = 65.96 : x
  2. Step 2: Convert to fraction form
    68.68/102.40 = 65.96/x
  3. Step 3: Cross multiply
    68.68x = 102.40 × 65.96
  4. Step 4: Simplify right side
    68.68x = 6,754.30
  5. Step 5: Solve for x
    x = 6,754.30/68.68
  6. Step 6: Final answer
    x = 98.34

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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.