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Finding the Fourth Proportional to 110.06, 152.57 and 107.83

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Solution

The fourth proportional to 110.06, 152.57 and 107.83 is: 149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.06 : 152.57 = 107.83 : x
  2. Step 2: Convert to fraction form
    110.06/152.57 = 107.83/x
  3. Step 3: Cross multiply
    110.06x = 152.57 × 107.83
  4. Step 4: Simplify right side
    110.06x = 16,450.86
  5. Step 5: Solve for x
    x = 16,450.86/110.06
  6. Step 6: Final answer
    x = 149.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.