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Finding the Fourth Proportional to 148.60, 205.07 and 82.22

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Solution

The fourth proportional to 148.60, 205.07 and 82.22 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.60 : 205.07 = 82.22 : x
  2. Step 2: Convert to fraction form
    148.60/205.07 = 82.22/x
  3. Step 3: Cross multiply
    148.60x = 205.07 × 82.22
  4. Step 4: Simplify right side
    148.60x = 16,859.83
  5. Step 5: Solve for x
    x = 16,859.83/148.60
  6. Step 6: Final answer
    x = 113.46

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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.