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Finding the Fourth Proportional to 68.55, 102.34 and 62.17

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Solution

The fourth proportional to 68.55, 102.34 and 62.17 is: 92.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.55 : 102.34 = 62.17 : x
  2. Step 2: Convert to fraction form
    68.55/102.34 = 62.17/x
  3. Step 3: Cross multiply
    68.55x = 102.34 × 62.17
  4. Step 4: Simplify right side
    68.55x = 6,362.73
  5. Step 5: Solve for x
    x = 6,362.73/68.55
  6. Step 6: Final answer
    x = 92.82

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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.