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Finding the Fourth Proportional to 102.21, 141.08 and 67.18

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Solution

The fourth proportional to 102.21, 141.08 and 67.18 is: 92.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.21 : 141.08 = 67.18 : x
  2. Step 2: Convert to fraction form
    102.21/141.08 = 67.18/x
  3. Step 3: Cross multiply
    102.21x = 141.08 × 67.18
  4. Step 4: Simplify right side
    102.21x = 9,477.75
  5. Step 5: Solve for x
    x = 9,477.75/102.21
  6. Step 6: Final answer
    x = 92.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.