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Finding the Fourth Proportional to 151.49, 208.83 and 99.04

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Solution

The fourth proportional to 151.49, 208.83 and 99.04 is: 136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.49 : 208.83 = 99.04 : x
  2. Step 2: Convert to fraction form
    151.49/208.83 = 99.04/x
  3. Step 3: Cross multiply
    151.49x = 208.83 × 99.04
  4. Step 4: Simplify right side
    151.49x = 20,682.52
  5. Step 5: Solve for x
    x = 20,682.52/151.49
  6. Step 6: Final answer
    x = 136.53

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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.