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Finding the Fourth Proportional to 153.33, 229.94 and 81.15

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Solution

The fourth proportional to 153.33, 229.94 and 81.15 is: 121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.33 : 229.94 = 81.15 : x
  2. Step 2: Convert to fraction form
    153.33/229.94 = 81.15/x
  3. Step 3: Cross multiply
    153.33x = 229.94 × 81.15
  4. Step 4: Simplify right side
    153.33x = 18,658.48
  5. Step 5: Solve for x
    x = 18,658.48/153.33
  6. Step 6: Final answer
    x = 121.69

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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.