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Finding the Fourth Proportional to 141.84, 213.06 and 105.99

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Solution

The fourth proportional to 141.84, 213.06 and 105.99 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 213.06 = 105.99 : x
  2. Step 2: Convert to fraction form
    141.84/213.06 = 105.99/x
  3. Step 3: Cross multiply
    141.84x = 213.06 × 105.99
  4. Step 4: Simplify right side
    141.84x = 22,582.23
  5. Step 5: Solve for x
    x = 22,582.23/141.84
  6. Step 6: Final answer
    x = 159.21

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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.