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Finding the Fourth Proportional to 111.48, 167.36 and 77.46

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Solution

The fourth proportional to 111.48, 167.36 and 77.46 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.48 : 167.36 = 77.46 : x
  2. Step 2: Convert to fraction form
    111.48/167.36 = 77.46/x
  3. Step 3: Cross multiply
    111.48x = 167.36 × 77.46
  4. Step 4: Simplify right side
    111.48x = 12,963.32
  5. Step 5: Solve for x
    x = 12,963.32/111.48
  6. Step 6: Final answer
    x = 116.28

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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.