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Finding the Fourth Proportional to 111.70, 167.53 and 30.52

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Solution

The fourth proportional to 111.70, 167.53 and 30.52 is: 45.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.70 : 167.53 = 30.52 : x
  2. Step 2: Convert to fraction form
    111.70/167.53 = 30.52/x
  3. Step 3: Cross multiply
    111.70x = 167.53 × 30.52
  4. Step 4: Simplify right side
    111.70x = 5,112.52
  5. Step 5: Solve for x
    x = 5,112.52/111.70
  6. Step 6: Final answer
    x = 45.77

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