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Finding the Fourth Proportional to 119.72, 165.14 and 78.34

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Solution

The fourth proportional to 119.72, 165.14 and 78.34 is: 108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.72 : 165.14 = 78.34 : x
  2. Step 2: Convert to fraction form
    119.72/165.14 = 78.34/x
  3. Step 3: Cross multiply
    119.72x = 165.14 × 78.34
  4. Step 4: Simplify right side
    119.72x = 12,936.24
  5. Step 5: Solve for x
    x = 12,936.24/119.72
  6. Step 6: Final answer
    x = 108.06

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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.