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Finding the Fourth Proportional to 153.82, 230.76 and 99.33

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Solution

The fourth proportional to 153.82, 230.76 and 99.33 is: 149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.82 : 230.76 = 99.33 : x
  2. Step 2: Convert to fraction form
    153.82/230.76 = 99.33/x
  3. Step 3: Cross multiply
    153.82x = 230.76 × 99.33
  4. Step 4: Simplify right side
    153.82x = 22,921.39
  5. Step 5: Solve for x
    x = 22,921.39/153.82
  6. Step 6: Final answer
    x = 149.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.