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Finding the Fourth Proportional to 103.65, 155.23 and 81.93

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Solution

The fourth proportional to 103.65, 155.23 and 81.93 is: 122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.65 : 155.23 = 81.93 : x
  2. Step 2: Convert to fraction form
    103.65/155.23 = 81.93/x
  3. Step 3: Cross multiply
    103.65x = 155.23 × 81.93
  4. Step 4: Simplify right side
    103.65x = 12,717.99
  5. Step 5: Solve for x
    x = 12,717.99/103.65
  6. Step 6: Final answer
    x = 122.70

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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.