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Finding the Fourth Proportional to 68.17, 102.35 and 39.31

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Solution

The fourth proportional to 68.17, 102.35 and 39.31 is: 59.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.17 : 102.35 = 39.31 : x
  2. Step 2: Convert to fraction form
    68.17/102.35 = 39.31/x
  3. Step 3: Cross multiply
    68.17x = 102.35 × 39.31
  4. Step 4: Simplify right side
    68.17x = 4,023.18
  5. Step 5: Solve for x
    x = 4,023.18/68.17
  6. Step 6: Final answer
    x = 59.02

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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.