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Finding the Fourth Proportional to 68.52, 102.27 and 65.55

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Solution

The fourth proportional to 68.52, 102.27 and 65.55 is: 97.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.52 : 102.27 = 65.55 : x
  2. Step 2: Convert to fraction form
    68.52/102.27 = 65.55/x
  3. Step 3: Cross multiply
    68.52x = 102.27 × 65.55
  4. Step 4: Simplify right side
    68.52x = 6,703.80
  5. Step 5: Solve for x
    x = 6,703.80/68.52
  6. Step 6: Final answer
    x = 97.84

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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.