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Finding the Fourth Proportional to 109.52, 150.90 and 109.26

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Solution

The fourth proportional to 109.52, 150.90 and 109.26 is: 150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.52 : 150.90 = 109.26 : x
  2. Step 2: Convert to fraction form
    109.52/150.90 = 109.26/x
  3. Step 3: Cross multiply
    109.52x = 150.90 × 109.26
  4. Step 4: Simplify right side
    109.52x = 16,487.33
  5. Step 5: Solve for x
    x = 16,487.33/109.52
  6. Step 6: Final answer
    x = 150.54

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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.