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Finding the Fourth Proportional to 189.32, 261.24 and 111.68

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Solution

The fourth proportional to 189.32, 261.24 and 111.68 is: 154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 261.24 = 111.68 : x
  2. Step 2: Convert to fraction form
    189.32/261.24 = 111.68/x
  3. Step 3: Cross multiply
    189.32x = 261.24 × 111.68
  4. Step 4: Simplify right side
    189.32x = 29,175.28
  5. Step 5: Solve for x
    x = 29,175.28/189.32
  6. Step 6: Final answer
    x = 154.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.