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Finding the Fourth Proportional to 141.79, 212.57 and 64.73

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Solution

The fourth proportional to 141.79, 212.57 and 64.73 is: 97.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.79 : 212.57 = 64.73 : x
  2. Step 2: Convert to fraction form
    141.79/212.57 = 64.73/x
  3. Step 3: Cross multiply
    141.79x = 212.57 × 64.73
  4. Step 4: Simplify right side
    141.79x = 13,759.31
  5. Step 5: Solve for x
    x = 13,759.31/141.79
  6. Step 6: Final answer
    x = 97.04

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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.