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Finding the Fourth Proportional to 151.67, 209.23 and 102.53

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Solution

The fourth proportional to 151.67, 209.23 and 102.53 is: 141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.67 : 209.23 = 102.53 : x
  2. Step 2: Convert to fraction form
    151.67/209.23 = 102.53/x
  3. Step 3: Cross multiply
    151.67x = 209.23 × 102.53
  4. Step 4: Simplify right side
    151.67x = 21,452.35
  5. Step 5: Solve for x
    x = 21,452.35/151.67
  6. Step 6: Final answer
    x = 141.44

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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.