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Finding the Fourth Proportional to 109.34, 150.90 and 99.49

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Solution

The fourth proportional to 109.34, 150.90 and 99.49 is: 137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.34 : 150.90 = 99.49 : x
  2. Step 2: Convert to fraction form
    109.34/150.90 = 99.49/x
  3. Step 3: Cross multiply
    109.34x = 150.90 × 99.49
  4. Step 4: Simplify right side
    109.34x = 15,013.04
  5. Step 5: Solve for x
    x = 15,013.04/109.34
  6. Step 6: Final answer
    x = 137.31

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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.