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Finding the Fourth Proportional to 175.01, 241.53 and 105.06

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Solution

The fourth proportional to 175.01, 241.53 and 105.06 is: 144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.01 : 241.53 = 105.06 : x
  2. Step 2: Convert to fraction form
    175.01/241.53 = 105.06/x
  3. Step 3: Cross multiply
    175.01x = 241.53 × 105.06
  4. Step 4: Simplify right side
    175.01x = 25,374.01
  5. Step 5: Solve for x
    x = 25,374.01/175.01
  6. Step 6: Final answer
    x = 144.98

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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.