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Finding the Fourth Proportional to 169.39, 233.72 and 102.98

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Solution

The fourth proportional to 169.39, 233.72 and 102.98 is: 142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.39 : 233.72 = 102.98 : x
  2. Step 2: Convert to fraction form
    169.39/233.72 = 102.98/x
  3. Step 3: Cross multiply
    169.39x = 233.72 × 102.98
  4. Step 4: Simplify right side
    169.39x = 24,068.49
  5. Step 5: Solve for x
    x = 24,068.49/169.39
  6. Step 6: Final answer
    x = 142.09

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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.