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Finding the Fourth Proportional to 110.43, 152.34 and 75.43

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Solution

The fourth proportional to 110.43, 152.34 and 75.43 is: 104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.43 : 152.34 = 75.43 : x
  2. Step 2: Convert to fraction form
    110.43/152.34 = 75.43/x
  3. Step 3: Cross multiply
    110.43x = 152.34 × 75.43
  4. Step 4: Simplify right side
    110.43x = 11,491.01
  5. Step 5: Solve for x
    x = 11,491.01/110.43
  6. Step 6: Final answer
    x = 104.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.