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Finding the Fourth Proportional to 109.58, 151.12 and 80.14

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Solution

The fourth proportional to 109.58, 151.12 and 80.14 is: 110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.58 : 151.12 = 80.14 : x
  2. Step 2: Convert to fraction form
    109.58/151.12 = 80.14/x
  3. Step 3: Cross multiply
    109.58x = 151.12 × 80.14
  4. Step 4: Simplify right side
    109.58x = 12,109.60
  5. Step 5: Solve for x
    x = 12,109.60/109.58
  6. Step 6: Final answer
    x = 110.51

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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.