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Finding the Fourth Proportional to 153.82, 230.80 and 99.04

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Solution

The fourth proportional to 153.82, 230.80 and 99.04 is: 148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.82 : 230.80 = 99.04 : x
  2. Step 2: Convert to fraction form
    153.82/230.80 = 99.04/x
  3. Step 3: Cross multiply
    153.82x = 230.80 × 99.04
  4. Step 4: Simplify right side
    153.82x = 22,858.79
  5. Step 5: Solve for x
    x = 22,858.79/153.82
  6. Step 6: Final answer
    x = 148.61

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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.