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Finding the Fourth Proportional to 141.57, 212.61 and 92.92

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Solution

The fourth proportional to 141.57, 212.61 and 92.92 is: 139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.57 : 212.61 = 92.92 : x
  2. Step 2: Convert to fraction form
    141.57/212.61 = 92.92/x
  3. Step 3: Cross multiply
    141.57x = 212.61 × 92.92
  4. Step 4: Simplify right side
    141.57x = 19,754.92
  5. Step 5: Solve for x
    x = 19,754.92/141.57
  6. Step 6: Final answer
    x = 139.54

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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.