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Finding the Fourth Proportional to 153.82, 230.52 and 85.31

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Solution

The fourth proportional to 153.82, 230.52 and 85.31 is: 127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.82 : 230.52 = 85.31 : x
  2. Step 2: Convert to fraction form
    153.82/230.52 = 85.31/x
  3. Step 3: Cross multiply
    153.82x = 230.52 × 85.31
  4. Step 4: Simplify right side
    153.82x = 19,664.83
  5. Step 5: Solve for x
    x = 19,664.83/153.82
  6. Step 6: Final answer
    x = 127.85

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Why These Related Problems?

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