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Finding the Fourth Proportional to 109.09, 150.08 and 106.05

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Solution

The fourth proportional to 109.09, 150.08 and 106.05 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.09 : 150.08 = 106.05 : x
  2. Step 2: Convert to fraction form
    109.09/150.08 = 106.05/x
  3. Step 3: Cross multiply
    109.09x = 150.08 × 106.05
  4. Step 4: Simplify right side
    109.09x = 15,915.45
  5. Step 5: Solve for x
    x = 15,915.45/109.09
  6. Step 6: Final answer
    x = 145.90

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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.