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Finding the Fourth Proportional to 99.24, 148.86 and 30.81

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Solution

The fourth proportional to 99.24, 148.86 and 30.81 is: 46.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.24 : 148.86 = 30.81 : x
  2. Step 2: Convert to fraction form
    99.24/148.86 = 30.81/x
  3. Step 3: Cross multiply
    99.24x = 148.86 × 30.81
  4. Step 4: Simplify right side
    99.24x = 4,586.38
  5. Step 5: Solve for x
    x = 4,586.38/99.24
  6. Step 6: Final answer
    x = 46.22

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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.