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Finding the Fourth Proportional to 175.04, 241.49 and 105.08

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Solution

The fourth proportional to 175.04, 241.49 and 105.08 is: 144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.04 : 241.49 = 105.08 : x
  2. Step 2: Convert to fraction form
    175.04/241.49 = 105.08/x
  3. Step 3: Cross multiply
    175.04x = 241.49 × 105.08
  4. Step 4: Simplify right side
    175.04x = 25,374.94
  5. Step 5: Solve for x
    x = 25,374.94/175.04
  6. Step 6: Final answer
    x = 144.96

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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.