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Finding the Fourth Proportional to 68.38, 102.45 and 58.21

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Solution

The fourth proportional to 68.38, 102.45 and 58.21 is: 87.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.38 : 102.45 = 58.21 : x
  2. Step 2: Convert to fraction form
    68.38/102.45 = 58.21/x
  3. Step 3: Cross multiply
    68.38x = 102.45 × 58.21
  4. Step 4: Simplify right side
    68.38x = 5,963.61
  5. Step 5: Solve for x
    x = 5,963.61/68.38
  6. Step 6: Final answer
    x = 87.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.