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Finding the Fourth Proportional to 111.41, 167.09 and 42.90

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Solution

The fourth proportional to 111.41, 167.09 and 42.90 is: 64.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.41 : 167.09 = 42.90 : x
  2. Step 2: Convert to fraction form
    111.41/167.09 = 42.90/x
  3. Step 3: Cross multiply
    111.41x = 167.09 × 42.90
  4. Step 4: Simplify right side
    111.41x = 7,168.16
  5. Step 5: Solve for x
    x = 7,168.16/111.41
  6. Step 6: Final answer
    x = 64.34

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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.