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Finding the Fourth Proportional to 153.75, 230.23 and 85.20

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Solution

The fourth proportional to 153.75, 230.23 and 85.20 is: 127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.75 : 230.23 = 85.20 : x
  2. Step 2: Convert to fraction form
    153.75/230.23 = 85.20/x
  3. Step 3: Cross multiply
    153.75x = 230.23 × 85.20
  4. Step 4: Simplify right side
    153.75x = 19,614.44
  5. Step 5: Solve for x
    x = 19,614.44/153.75
  6. Step 6: Final answer
    x = 127.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.