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Finding the Fourth Proportional to 99.73, 149.53 and 31.23

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Solution

The fourth proportional to 99.73, 149.53 and 31.23 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.73 : 149.53 = 31.23 : x
  2. Step 2: Convert to fraction form
    99.73/149.53 = 31.23/x
  3. Step 3: Cross multiply
    99.73x = 149.53 × 31.23
  4. Step 4: Simplify right side
    99.73x = 4,668.92
  5. Step 5: Solve for x
    x = 4,668.92/99.73
  6. Step 6: Final answer
    x = 46.82

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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.