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Finding the Fourth Proportional to 119.25, 164.51 and 77.83

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Solution

The fourth proportional to 119.25, 164.51 and 77.83 is: 107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.25 : 164.51 = 77.83 : x
  2. Step 2: Convert to fraction form
    119.25/164.51 = 77.83/x
  3. Step 3: Cross multiply
    119.25x = 164.51 × 77.83
  4. Step 4: Simplify right side
    119.25x = 12,803.81
  5. Step 5: Solve for x
    x = 12,803.81/119.25
  6. Step 6: Final answer
    x = 107.37

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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.