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Finding the Fourth Proportional to 68.53, 102.08 and 65.41

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Solution

The fourth proportional to 68.53, 102.08 and 65.41 is: 97.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.53 : 102.08 = 65.41 : x
  2. Step 2: Convert to fraction form
    68.53/102.08 = 65.41/x
  3. Step 3: Cross multiply
    68.53x = 102.08 × 65.41
  4. Step 4: Simplify right side
    68.53x = 6,677.05
  5. Step 5: Solve for x
    x = 6,677.05/68.53
  6. Step 6: Final answer
    x = 97.43

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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.