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Finding the Fourth Proportional to 110.50, 152.43 and 69.03

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Solution

The fourth proportional to 110.50, 152.43 and 69.03 is: 95.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 152.43 = 69.03 : x
  2. Step 2: Convert to fraction form
    110.50/152.43 = 69.03/x
  3. Step 3: Cross multiply
    110.50x = 152.43 × 69.03
  4. Step 4: Simplify right side
    110.50x = 10,522.24
  5. Step 5: Solve for x
    x = 10,522.24/110.50
  6. Step 6: Final answer
    x = 95.22

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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.