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Finding the Fourth Proportional to 109.81, 151.08 and 107.11

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Solution

The fourth proportional to 109.81, 151.08 and 107.11 is: 147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.81 : 151.08 = 107.11 : x
  2. Step 2: Convert to fraction form
    109.81/151.08 = 107.11/x
  3. Step 3: Cross multiply
    109.81x = 151.08 × 107.11
  4. Step 4: Simplify right side
    109.81x = 16,181.42
  5. Step 5: Solve for x
    x = 16,181.42/109.81
  6. Step 6: Final answer
    x = 147.37

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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.