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Finding the Fourth Proportional to 109.27, 150.81 and 74.35

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Solution

The fourth proportional to 109.27, 150.81 and 74.35 is: 102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.27 : 150.81 = 74.35 : x
  2. Step 2: Convert to fraction form
    109.27/150.81 = 74.35/x
  3. Step 3: Cross multiply
    109.27x = 150.81 × 74.35
  4. Step 4: Simplify right side
    109.27x = 11,212.72
  5. Step 5: Solve for x
    x = 11,212.72/109.27
  6. Step 6: Final answer
    x = 102.61

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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.