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Finding the Fourth Proportional to 111.64, 167.28 and 106.24

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Solution

The fourth proportional to 111.64, 167.28 and 106.24 is: 159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.64 : 167.28 = 106.24 : x
  2. Step 2: Convert to fraction form
    111.64/167.28 = 106.24/x
  3. Step 3: Cross multiply
    111.64x = 167.28 × 106.24
  4. Step 4: Simplify right side
    111.64x = 17,771.83
  5. Step 5: Solve for x
    x = 17,771.83/111.64
  6. Step 6: Final answer
    x = 159.19

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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.