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Finding the Fourth Proportional to 151.24, 208.63 and 97.24

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Solution

The fourth proportional to 151.24, 208.63 and 97.24 is: 134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.24 : 208.63 = 97.24 : x
  2. Step 2: Convert to fraction form
    151.24/208.63 = 97.24/x
  3. Step 3: Cross multiply
    151.24x = 208.63 × 97.24
  4. Step 4: Simplify right side
    151.24x = 20,287.18
  5. Step 5: Solve for x
    x = 20,287.18/151.24
  6. Step 6: Final answer
    x = 134.14

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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.