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Finding the Fourth Proportional to 155.12, 214.09 and 99.83

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Solution

The fourth proportional to 155.12, 214.09 and 99.83 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.12 : 214.09 = 99.83 : x
  2. Step 2: Convert to fraction form
    155.12/214.09 = 99.83/x
  3. Step 3: Cross multiply
    155.12x = 214.09 × 99.83
  4. Step 4: Simplify right side
    155.12x = 21,372.89
  5. Step 5: Solve for x
    x = 21,372.89/155.12
  6. Step 6: Final answer
    x = 137.79

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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.