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Finding the Fourth Proportional to 99.05, 149.22 and 82.26

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Solution

The fourth proportional to 99.05, 149.22 and 82.26 is: 123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.05 : 149.22 = 82.26 : x
  2. Step 2: Convert to fraction form
    99.05/149.22 = 82.26/x
  3. Step 3: Cross multiply
    99.05x = 149.22 × 82.26
  4. Step 4: Simplify right side
    99.05x = 12,274.84
  5. Step 5: Solve for x
    x = 12,274.84/99.05
  6. Step 6: Final answer
    x = 123.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.