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Finding the Fourth Proportional to 151.03, 208.52 and 99.31

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Solution

The fourth proportional to 151.03, 208.52 and 99.31 is: 137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.03 : 208.52 = 99.31 : x
  2. Step 2: Convert to fraction form
    151.03/208.52 = 99.31/x
  3. Step 3: Cross multiply
    151.03x = 208.52 × 99.31
  4. Step 4: Simplify right side
    151.03x = 20,708.12
  5. Step 5: Solve for x
    x = 20,708.12/151.03
  6. Step 6: Final answer
    x = 137.11

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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.