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Finding the Fourth Proportional to 99.25, 148.87 and 27.11

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Solution

The fourth proportional to 99.25, 148.87 and 27.11 is: 40.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.25 : 148.87 = 27.11 : x
  2. Step 2: Convert to fraction form
    99.25/148.87 = 27.11/x
  3. Step 3: Cross multiply
    99.25x = 148.87 × 27.11
  4. Step 4: Simplify right side
    99.25x = 4,035.05
  5. Step 5: Solve for x
    x = 4,035.05/99.25
  6. Step 6: Final answer
    x = 40.66

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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.