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Finding the Fourth Proportional to 68.70, 102.84 and 66.18

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Solution

The fourth proportional to 68.70, 102.84 and 66.18 is: 99.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.70 : 102.84 = 66.18 : x
  2. Step 2: Convert to fraction form
    68.70/102.84 = 66.18/x
  3. Step 3: Cross multiply
    68.70x = 102.84 × 66.18
  4. Step 4: Simplify right side
    68.70x = 6,805.95
  5. Step 5: Solve for x
    x = 6,805.95/68.70
  6. Step 6: Final answer
    x = 99.07

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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.