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Finding the Fourth Proportional to 152.04, 227.83 and 70.71

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Solution

The fourth proportional to 152.04, 227.83 and 70.71 is: 105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.04 : 227.83 = 70.71 : x
  2. Step 2: Convert to fraction form
    152.04/227.83 = 70.71/x
  3. Step 3: Cross multiply
    152.04x = 227.83 × 70.71
  4. Step 4: Simplify right side
    152.04x = 16,109.86
  5. Step 5: Solve for x
    x = 16,109.86/152.04
  6. Step 6: Final answer
    x = 105.96

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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.