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Finding the Fourth Proportional to 134.18, 200.96 and 109.88

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Solution

The fourth proportional to 134.18, 200.96 and 109.88 is: 164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.18 : 200.96 = 109.88 : x
  2. Step 2: Convert to fraction form
    134.18/200.96 = 109.88/x
  3. Step 3: Cross multiply
    134.18x = 200.96 × 109.88
  4. Step 4: Simplify right side
    134.18x = 22,081.51
  5. Step 5: Solve for x
    x = 22,081.51/134.18
  6. Step 6: Final answer
    x = 164.57

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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.