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Finding the Fourth Proportional to 152.92, 229.08 and 101.44

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Solution

The fourth proportional to 152.92, 229.08 and 101.44 is: 151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.92 : 229.08 = 101.44 : x
  2. Step 2: Convert to fraction form
    152.92/229.08 = 101.44/x
  3. Step 3: Cross multiply
    152.92x = 229.08 × 101.44
  4. Step 4: Simplify right side
    152.92x = 23,237.88
  5. Step 5: Solve for x
    x = 23,237.88/152.92
  6. Step 6: Final answer
    x = 151.96

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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.