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Finding the Fourth Proportional to 118.98, 164.34 and 102.60

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Solution

The fourth proportional to 118.98, 164.34 and 102.60 is: 141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.98 : 164.34 = 102.60 : x
  2. Step 2: Convert to fraction form
    118.98/164.34 = 102.60/x
  3. Step 3: Cross multiply
    118.98x = 164.34 × 102.60
  4. Step 4: Simplify right side
    118.98x = 16,861.28
  5. Step 5: Solve for x
    x = 16,861.28/118.98
  6. Step 6: Final answer
    x = 141.72

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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.