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Finding the Fourth Proportional to 152.92, 229.41 and 44.71

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Solution

The fourth proportional to 152.92, 229.41 and 44.71 is: 67.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.92 : 229.41 = 44.71 : x
  2. Step 2: Convert to fraction form
    152.92/229.41 = 44.71/x
  3. Step 3: Cross multiply
    152.92x = 229.41 × 44.71
  4. Step 4: Simplify right side
    152.92x = 10,255.77
  5. Step 5: Solve for x
    x = 10,255.77/152.92
  6. Step 6: Final answer
    x = 67.07

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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.