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Finding the Fourth Proportional to 152.18, 227.84 and 108.72

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Solution

The fourth proportional to 152.18, 227.84 and 108.72 is: 162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.18 : 227.84 = 108.72 : x
  2. Step 2: Convert to fraction form
    152.18/227.84 = 108.72/x
  3. Step 3: Cross multiply
    152.18x = 227.84 × 108.72
  4. Step 4: Simplify right side
    152.18x = 24,770.76
  5. Step 5: Solve for x
    x = 24,770.76/152.18
  6. Step 6: Final answer
    x = 162.77

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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.