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Finding the Fourth Proportional to 153.66, 230.62 and 81.56

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Solution

The fourth proportional to 153.66, 230.62 and 81.56 is: 122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.66 : 230.62 = 81.56 : x
  2. Step 2: Convert to fraction form
    153.66/230.62 = 81.56/x
  3. Step 3: Cross multiply
    153.66x = 230.62 × 81.56
  4. Step 4: Simplify right side
    153.66x = 18,809.37
  5. Step 5: Solve for x
    x = 18,809.37/153.66
  6. Step 6: Final answer
    x = 122.41

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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.