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Finding the Fourth Proportional to 120.07, 165.72 and 78.54

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Solution

The fourth proportional to 120.07, 165.72 and 78.54 is: 108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.07 : 165.72 = 78.54 : x
  2. Step 2: Convert to fraction form
    120.07/165.72 = 78.54/x
  3. Step 3: Cross multiply
    120.07x = 165.72 × 78.54
  4. Step 4: Simplify right side
    120.07x = 13,016.12
  5. Step 5: Solve for x
    x = 13,016.12/120.07
  6. Step 6: Final answer
    x = 108.41

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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.