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Finding the Fourth Proportional to 96.23, 144.59 and 50.61

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Solution

The fourth proportional to 96.23, 144.59 and 50.61 is: 76.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.23 : 144.59 = 50.61 : x
  2. Step 2: Convert to fraction form
    96.23/144.59 = 50.61/x
  3. Step 3: Cross multiply
    96.23x = 144.59 × 50.61
  4. Step 4: Simplify right side
    96.23x = 7,317.45
  5. Step 5: Solve for x
    x = 7,317.45/96.23
  6. Step 6: Final answer
    x = 76.05

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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.