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Finding the Fourth Proportional to 152.74, 229.16 and 50.05

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Solution

The fourth proportional to 152.74, 229.16 and 50.05 is: 75.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.74 : 229.16 = 50.05 : x
  2. Step 2: Convert to fraction form
    152.74/229.16 = 50.05/x
  3. Step 3: Cross multiply
    152.74x = 229.16 × 50.05
  4. Step 4: Simplify right side
    152.74x = 11,469.46
  5. Step 5: Solve for x
    x = 11,469.46/152.74
  6. Step 6: Final answer
    x = 75.09

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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.