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Finding the Fourth Proportional to 111.51, 168.21 and 99.54

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Solution

The fourth proportional to 111.51, 168.21 and 99.54 is: 150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.51 : 168.21 = 99.54 : x
  2. Step 2: Convert to fraction form
    111.51/168.21 = 99.54/x
  3. Step 3: Cross multiply
    111.51x = 168.21 × 99.54
  4. Step 4: Simplify right side
    111.51x = 16,743.62
  5. Step 5: Solve for x
    x = 16,743.62/111.51
  6. Step 6: Final answer
    x = 150.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.