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Finding the Fourth Proportional to 175.13, 262.14 and 106.43

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Solution

The fourth proportional to 175.13, 262.14 and 106.43 is: 159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 262.14 = 106.43 : x
  2. Step 2: Convert to fraction form
    175.13/262.14 = 106.43/x
  3. Step 3: Cross multiply
    175.13x = 262.14 × 106.43
  4. Step 4: Simplify right side
    175.13x = 27,899.23
  5. Step 5: Solve for x
    x = 27,899.23/175.13
  6. Step 6: Final answer
    x = 159.31

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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.