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Finding the Fourth Proportional to 141.92, 212.76 and 107.50

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Solution

The fourth proportional to 141.92, 212.76 and 107.50 is: 161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.92 : 212.76 = 107.50 : x
  2. Step 2: Convert to fraction form
    141.92/212.76 = 107.50/x
  3. Step 3: Cross multiply
    141.92x = 212.76 × 107.50
  4. Step 4: Simplify right side
    141.92x = 22,871.70
  5. Step 5: Solve for x
    x = 22,871.70/141.92
  6. Step 6: Final answer
    x = 161.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.