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Finding the Fourth Proportional to 147.02, 220.38 and 82.76

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Solution

The fourth proportional to 147.02, 220.38 and 82.76 is: 124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 220.38 = 82.76 : x
  2. Step 2: Convert to fraction form
    147.02/220.38 = 82.76/x
  3. Step 3: Cross multiply
    147.02x = 220.38 × 82.76
  4. Step 4: Simplify right side
    147.02x = 18,238.65
  5. Step 5: Solve for x
    x = 18,238.65/147.02
  6. Step 6: Final answer
    x = 124.06

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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.