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Finding the Fourth Proportional to 151.52, 209.14 and 102.45

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Solution

The fourth proportional to 151.52, 209.14 and 102.45 is: 141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 209.14 = 102.45 : x
  2. Step 2: Convert to fraction form
    151.52/209.14 = 102.45/x
  3. Step 3: Cross multiply
    151.52x = 209.14 × 102.45
  4. Step 4: Simplify right side
    151.52x = 21,426.14
  5. Step 5: Solve for x
    x = 21,426.14/151.52
  6. Step 6: Final answer
    x = 141.41

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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.