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Finding the Fourth Proportional to 111.66, 167.49 and 30.51

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Solution

The fourth proportional to 111.66, 167.49 and 30.51 is: 45.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.66 : 167.49 = 30.51 : x
  2. Step 2: Convert to fraction form
    111.66/167.49 = 30.51/x
  3. Step 3: Cross multiply
    111.66x = 167.49 × 30.51
  4. Step 4: Simplify right side
    111.66x = 5,110.75
  5. Step 5: Solve for x
    x = 5,110.75/111.66
  6. Step 6: Final answer
    x = 45.77

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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.