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Finding the Fourth Proportional to 120.24, 165.93 and 67.78

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Solution

The fourth proportional to 120.24, 165.93 and 67.78 is: 93.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 165.93 = 67.78 : x
  2. Step 2: Convert to fraction form
    120.24/165.93 = 67.78/x
  3. Step 3: Cross multiply
    120.24x = 165.93 × 67.78
  4. Step 4: Simplify right side
    120.24x = 11,246.74
  5. Step 5: Solve for x
    x = 11,246.74/120.24
  6. Step 6: Final answer
    x = 93.54

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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.