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Finding the Fourth Proportional to 152.73, 229.05 and 84.24

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Solution

The fourth proportional to 152.73, 229.05 and 84.24 is: 126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.73 : 229.05 = 84.24 : x
  2. Step 2: Convert to fraction form
    152.73/229.05 = 84.24/x
  3. Step 3: Cross multiply
    152.73x = 229.05 × 84.24
  4. Step 4: Simplify right side
    152.73x = 19,295.17
  5. Step 5: Solve for x
    x = 19,295.17/152.73
  6. Step 6: Final answer
    x = 126.34

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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.