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Finding the Fourth Proportional to 111.34, 167.00 and 30.19

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Solution

The fourth proportional to 111.34, 167.00 and 30.19 is: 45.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.34 : 167.00 = 30.19 : x
  2. Step 2: Convert to fraction form
    111.34/167.00 = 30.19/x
  3. Step 3: Cross multiply
    111.34x = 167.00 × 30.19
  4. Step 4: Simplify right side
    111.34x = 5,041.53
  5. Step 5: Solve for x
    x = 5,041.53/111.34
  6. Step 6: Final answer
    x = 45.28

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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.