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Finding the Fourth Proportional to 175.11, 241.62 and 105.17

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Solution

The fourth proportional to 175.11, 241.62 and 105.17 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.11 : 241.62 = 105.17 : x
  2. Step 2: Convert to fraction form
    175.11/241.62 = 105.17/x
  3. Step 3: Cross multiply
    175.11x = 241.62 × 105.17
  4. Step 4: Simplify right side
    175.11x = 25,409.97
  5. Step 5: Solve for x
    x = 25,409.97/175.11
  6. Step 6: Final answer
    x = 145.11

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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.