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Finding the Fourth Proportional to 109.77, 151.19 and 82.09

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Solution

The fourth proportional to 109.77, 151.19 and 82.09 is: 113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.77 : 151.19 = 82.09 : x
  2. Step 2: Convert to fraction form
    109.77/151.19 = 82.09/x
  3. Step 3: Cross multiply
    109.77x = 151.19 × 82.09
  4. Step 4: Simplify right side
    109.77x = 12,411.19
  5. Step 5: Solve for x
    x = 12,411.19/109.77
  6. Step 6: Final answer
    x = 113.07

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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.