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Finding the Fourth Proportional to 141.63, 212.11 and 98.18

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Solution

The fourth proportional to 141.63, 212.11 and 98.18 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.63 : 212.11 = 98.18 : x
  2. Step 2: Convert to fraction form
    141.63/212.11 = 98.18/x
  3. Step 3: Cross multiply
    141.63x = 212.11 × 98.18
  4. Step 4: Simplify right side
    141.63x = 20,823.41
  5. Step 5: Solve for x
    x = 20,823.41/141.63
  6. Step 6: Final answer
    x = 147.02

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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.