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Finding the Fourth Proportional to 109.46, 150.85 and 80.30

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Solution

The fourth proportional to 109.46, 150.85 and 80.30 is: 110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.46 : 150.85 = 80.30 : x
  2. Step 2: Convert to fraction form
    109.46/150.85 = 80.30/x
  3. Step 3: Cross multiply
    109.46x = 150.85 × 80.30
  4. Step 4: Simplify right side
    109.46x = 12,113.26
  5. Step 5: Solve for x
    x = 12,113.26/109.46
  6. Step 6: Final answer
    x = 110.66

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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.