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Finding the Fourth Proportional to 141.85, 212.52 and 96.04

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Solution

The fourth proportional to 141.85, 212.52 and 96.04 is: 143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.85 : 212.52 = 96.04 : x
  2. Step 2: Convert to fraction form
    141.85/212.52 = 96.04/x
  3. Step 3: Cross multiply
    141.85x = 212.52 × 96.04
  4. Step 4: Simplify right side
    141.85x = 20,409.85
  5. Step 5: Solve for x
    x = 20,409.85/141.85
  6. Step 6: Final answer
    x = 143.88

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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.