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Finding the Fourth Proportional to 119.36, 164.82 and 77.90

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Solution

The fourth proportional to 119.36, 164.82 and 77.90 is: 107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.36 : 164.82 = 77.90 : x
  2. Step 2: Convert to fraction form
    119.36/164.82 = 77.90/x
  3. Step 3: Cross multiply
    119.36x = 164.82 × 77.90
  4. Step 4: Simplify right side
    119.36x = 12,839.48
  5. Step 5: Solve for x
    x = 12,839.48/119.36
  6. Step 6: Final answer
    x = 107.57

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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.