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Finding the Fourth Proportional to 151.75, 209.60 and 102.54

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Solution

The fourth proportional to 151.75, 209.60 and 102.54 is: 141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.75 : 209.60 = 102.54 : x
  2. Step 2: Convert to fraction form
    151.75/209.60 = 102.54/x
  3. Step 3: Cross multiply
    151.75x = 209.60 × 102.54
  4. Step 4: Simplify right side
    151.75x = 21,492.38
  5. Step 5: Solve for x
    x = 21,492.38/151.75
  6. Step 6: Final answer
    x = 141.63

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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.