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Finding the Fourth Proportional to 99.23, 148.83 and 30.75

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Solution

The fourth proportional to 99.23, 148.83 and 30.75 is: 46.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.23 : 148.83 = 30.75 : x
  2. Step 2: Convert to fraction form
    99.23/148.83 = 30.75/x
  3. Step 3: Cross multiply
    99.23x = 148.83 × 30.75
  4. Step 4: Simplify right side
    99.23x = 4,575.94
  5. Step 5: Solve for x
    x = 4,575.94/99.23
  6. Step 6: Final answer
    x = 46.12

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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.