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Finding the Fourth Proportional to 99.81, 149.72 and 27.67

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Solution

The fourth proportional to 99.81, 149.72 and 27.67 is: 41.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.81 : 149.72 = 27.67 : x
  2. Step 2: Convert to fraction form
    99.81/149.72 = 27.67/x
  3. Step 3: Cross multiply
    99.81x = 149.72 × 27.67
  4. Step 4: Simplify right side
    99.81x = 4,143.13
  5. Step 5: Solve for x
    x = 4,143.13/99.81
  6. Step 6: Final answer
    x = 41.51

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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.