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Finding the Fourth Proportional to 175.01, 262.31 and 106.56

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Solution

The fourth proportional to 175.01, 262.31 and 106.56 is: 159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.01 : 262.31 = 106.56 : x
  2. Step 2: Convert to fraction form
    175.01/262.31 = 106.56/x
  3. Step 3: Cross multiply
    175.01x = 262.31 × 106.56
  4. Step 4: Simplify right side
    175.01x = 27,951.22
  5. Step 5: Solve for x
    x = 27,951.22/175.01
  6. Step 6: Final answer
    x = 159.72

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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.