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Finding the Fourth Proportional to 110.67, 151.81 and 107.93

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Solution

The fourth proportional to 110.67, 151.81 and 107.93 is: 148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.67 : 151.81 = 107.93 : x
  2. Step 2: Convert to fraction form
    110.67/151.81 = 107.93/x
  3. Step 3: Cross multiply
    110.67x = 151.81 × 107.93
  4. Step 4: Simplify right side
    110.67x = 16,384.96
  5. Step 5: Solve for x
    x = 16,384.96/110.67
  6. Step 6: Final answer
    x = 148.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.