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Finding the Fourth Proportional to 143.84, 198.52 and 106.56

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Solution

The fourth proportional to 143.84, 198.52 and 106.56 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.84 : 198.52 = 106.56 : x
  2. Step 2: Convert to fraction form
    143.84/198.52 = 106.56/x
  3. Step 3: Cross multiply
    143.84x = 198.52 × 106.56
  4. Step 4: Simplify right side
    143.84x = 21,154.29
  5. Step 5: Solve for x
    x = 21,154.29/143.84
  6. Step 6: Final answer
    x = 147.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.