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Finding the Fourth Proportional to 103.91, 156.02 and 81.36

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Solution

The fourth proportional to 103.91, 156.02 and 81.36 is: 122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.91 : 156.02 = 81.36 : x
  2. Step 2: Convert to fraction form
    103.91/156.02 = 81.36/x
  3. Step 3: Cross multiply
    103.91x = 156.02 × 81.36
  4. Step 4: Simplify right side
    103.91x = 12,693.38
  5. Step 5: Solve for x
    x = 12,693.38/103.91
  6. Step 6: Final answer
    x = 122.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.