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Finding the Fourth Proportional to 150.82, 208.17 and 99.07

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Solution

The fourth proportional to 150.82, 208.17 and 99.07 is: 136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 208.17 = 99.07 : x
  2. Step 2: Convert to fraction form
    150.82/208.17 = 99.07/x
  3. Step 3: Cross multiply
    150.82x = 208.17 × 99.07
  4. Step 4: Simplify right side
    150.82x = 20,623.40
  5. Step 5: Solve for x
    x = 20,623.40/150.82
  6. Step 6: Final answer
    x = 136.74

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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.