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Finding the Fourth Proportional to 119.78, 165.32 and 78.46

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Solution

The fourth proportional to 119.78, 165.32 and 78.46 is: 108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.78 : 165.32 = 78.46 : x
  2. Step 2: Convert to fraction form
    119.78/165.32 = 78.46/x
  3. Step 3: Cross multiply
    119.78x = 165.32 × 78.46
  4. Step 4: Simplify right side
    119.78x = 12,971.01
  5. Step 5: Solve for x
    x = 12,971.01/119.78
  6. Step 6: Final answer
    x = 108.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.