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Finding the Fourth Proportional to 151.93, 209.69 and 102.81

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Solution

The fourth proportional to 151.93, 209.69 and 102.81 is: 141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.93 : 209.69 = 102.81 : x
  2. Step 2: Convert to fraction form
    151.93/209.69 = 102.81/x
  3. Step 3: Cross multiply
    151.93x = 209.69 × 102.81
  4. Step 4: Simplify right side
    151.93x = 21,558.23
  5. Step 5: Solve for x
    x = 21,558.23/151.93
  6. Step 6: Final answer
    x = 141.90

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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.