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Finding the Fourth Proportional to 167.78, 231.32 and 105.50

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Solution

The fourth proportional to 167.78, 231.32 and 105.50 is: 145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.78 : 231.32 = 105.50 : x
  2. Step 2: Convert to fraction form
    167.78/231.32 = 105.50/x
  3. Step 3: Cross multiply
    167.78x = 231.32 × 105.50
  4. Step 4: Simplify right side
    167.78x = 24,402.58
  5. Step 5: Solve for x
    x = 24,402.58/167.78
  6. Step 6: Final answer
    x = 145.45

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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.