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Finding the Fourth Proportional to 175.13, 262.89 and 102.09

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Solution

The fourth proportional to 175.13, 262.89 and 102.09 is: 153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 262.89 = 102.09 : x
  2. Step 2: Convert to fraction form
    175.13/262.89 = 102.09/x
  3. Step 3: Cross multiply
    175.13x = 262.89 × 102.09
  4. Step 4: Simplify right side
    175.13x = 26,838.44
  5. Step 5: Solve for x
    x = 26,838.44/175.13
  6. Step 6: Final answer
    x = 153.25

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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.