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Finding the Fourth Proportional to 169.22, 233.34 and 110.90

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Solution

The fourth proportional to 169.22, 233.34 and 110.90 is: 152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.22 : 233.34 = 110.90 : x
  2. Step 2: Convert to fraction form
    169.22/233.34 = 110.90/x
  3. Step 3: Cross multiply
    169.22x = 233.34 × 110.90
  4. Step 4: Simplify right side
    169.22x = 25,877.41
  5. Step 5: Solve for x
    x = 25,877.41/169.22
  6. Step 6: Final answer
    x = 152.92

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Why These Related Problems?

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