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Finding the Fourth Proportional to 119.81, 165.35 and 78.48

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Solution

The fourth proportional to 119.81, 165.35 and 78.48 is: 108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.81 : 165.35 = 78.48 : x
  2. Step 2: Convert to fraction form
    119.81/165.35 = 78.48/x
  3. Step 3: Cross multiply
    119.81x = 165.35 × 78.48
  4. Step 4: Simplify right side
    119.81x = 12,976.67
  5. Step 5: Solve for x
    x = 12,976.67/119.81
  6. Step 6: Final answer
    x = 108.31

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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.