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Finding the Fourth Proportional to 134.17, 200.98 and 106.79

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Solution

The fourth proportional to 134.17, 200.98 and 106.79 is: 159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.17 : 200.98 = 106.79 : x
  2. Step 2: Convert to fraction form
    134.17/200.98 = 106.79/x
  3. Step 3: Cross multiply
    134.17x = 200.98 × 106.79
  4. Step 4: Simplify right side
    134.17x = 21,461.38
  5. Step 5: Solve for x
    x = 21,461.38/134.17
  6. Step 6: Final answer
    x = 159.96

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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.