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Finding the Fourth Proportional to 189.42, 261.31 and 123.02

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Solution

The fourth proportional to 189.42, 261.31 and 123.02 is: 169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 261.31 = 123.02 : x
  2. Step 2: Convert to fraction form
    189.42/261.31 = 123.02/x
  3. Step 3: Cross multiply
    189.42x = 261.31 × 123.02
  4. Step 4: Simplify right side
    189.42x = 32,147.18
  5. Step 5: Solve for x
    x = 32,147.18/189.42
  6. Step 6: Final answer
    x = 169.72

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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.