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Finding the Fourth Proportional to 141.90, 212.92 and 96.15

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Solution

The fourth proportional to 141.90, 212.92 and 96.15 is: 144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.90 : 212.92 = 96.15 : x
  2. Step 2: Convert to fraction form
    141.90/212.92 = 96.15/x
  3. Step 3: Cross multiply
    141.90x = 212.92 × 96.15
  4. Step 4: Simplify right side
    141.90x = 20,472.26
  5. Step 5: Solve for x
    x = 20,472.26/141.90
  6. Step 6: Final answer
    x = 144.27

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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.