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Finding the Fourth Proportional to 103.92, 156.41 and 78.38

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Solution

The fourth proportional to 103.92, 156.41 and 78.38 is: 117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.92 : 156.41 = 78.38 : x
  2. Step 2: Convert to fraction form
    103.92/156.41 = 78.38/x
  3. Step 3: Cross multiply
    103.92x = 156.41 × 78.38
  4. Step 4: Simplify right side
    103.92x = 12,259.42
  5. Step 5: Solve for x
    x = 12,259.42/103.92
  6. Step 6: Final answer
    x = 117.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.