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Finding the Fourth Proportional to 169.81, 234.59 and 117.33

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Solution

The fourth proportional to 169.81, 234.59 and 117.33 is: 162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.81 : 234.59 = 117.33 : x
  2. Step 2: Convert to fraction form
    169.81/234.59 = 117.33/x
  3. Step 3: Cross multiply
    169.81x = 234.59 × 117.33
  4. Step 4: Simplify right side
    169.81x = 27,522.98
  5. Step 5: Solve for x
    x = 27,522.98/169.81
  6. Step 6: Final answer
    x = 162.08

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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.