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Finding the Fourth Proportional to 141.76, 212.37 and 83.85

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Solution

The fourth proportional to 141.76, 212.37 and 83.85 is: 125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.76 : 212.37 = 83.85 : x
  2. Step 2: Convert to fraction form
    141.76/212.37 = 83.85/x
  3. Step 3: Cross multiply
    141.76x = 212.37 × 83.85
  4. Step 4: Simplify right side
    141.76x = 17,807.22
  5. Step 5: Solve for x
    x = 17,807.22/141.76
  6. Step 6: Final answer
    x = 125.62

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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.