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Finding the Fourth Proportional to 134.24, 185.23 and 75.22

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Solution

The fourth proportional to 134.24, 185.23 and 75.22 is: 103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.24 : 185.23 = 75.22 : x
  2. Step 2: Convert to fraction form
    134.24/185.23 = 75.22/x
  3. Step 3: Cross multiply
    134.24x = 185.23 × 75.22
  4. Step 4: Simplify right side
    134.24x = 13,933.00
  5. Step 5: Solve for x
    x = 13,933.00/134.24
  6. Step 6: Final answer
    x = 103.79

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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.