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Finding the Fourth Proportional to 169.07, 233.32 and 91.45

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Solution

The fourth proportional to 169.07, 233.32 and 91.45 is: 126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.07 : 233.32 = 91.45 : x
  2. Step 2: Convert to fraction form
    169.07/233.32 = 91.45/x
  3. Step 3: Cross multiply
    169.07x = 233.32 × 91.45
  4. Step 4: Simplify right side
    169.07x = 21,336.56
  5. Step 5: Solve for x
    x = 21,336.56/169.07
  6. Step 6: Final answer
    x = 126.20

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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.