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Finding the Fourth Proportional to 68.82, 102.52 and 65.55

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Solution

The fourth proportional to 68.82, 102.52 and 65.55 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.82 : 102.52 = 65.55 : x
  2. Step 2: Convert to fraction form
    68.82/102.52 = 65.55/x
  3. Step 3: Cross multiply
    68.82x = 102.52 × 65.55
  4. Step 4: Simplify right side
    68.82x = 6,720.19
  5. Step 5: Solve for x
    x = 6,720.19/68.82
  6. Step 6: Final answer
    x = 97.65

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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.