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Finding the Fourth Proportional to 169.02, 233.28 and 99.09

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Solution

The fourth proportional to 169.02, 233.28 and 99.09 is: 136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.02 : 233.28 = 99.09 : x
  2. Step 2: Convert to fraction form
    169.02/233.28 = 99.09/x
  3. Step 3: Cross multiply
    169.02x = 233.28 × 99.09
  4. Step 4: Simplify right side
    169.02x = 23,115.72
  5. Step 5: Solve for x
    x = 23,115.72/169.02
  6. Step 6: Final answer
    x = 136.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.