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Finding the Fourth Proportional to 141.96, 212.02 and 113.10

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Solution

The fourth proportional to 141.96, 212.02 and 113.10 is: 168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.96 : 212.02 = 113.10 : x
  2. Step 2: Convert to fraction form
    141.96/212.02 = 113.10/x
  3. Step 3: Cross multiply
    141.96x = 212.02 × 113.10
  4. Step 4: Simplify right side
    141.96x = 23,979.46
  5. Step 5: Solve for x
    x = 23,979.46/141.96
  6. Step 6: Final answer
    x = 168.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.