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Finding the Fourth Proportional to 147.20, 220.82 and 51

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Solution

The fourth proportional to 147.20, 220.82 and 51 is: 76.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.20 : 220.82 = 51 : x
  2. Step 2: Convert to fraction form
    147.20/220.82 = 51/x
  3. Step 3: Cross multiply
    147.20x = 220.82 × 51
  4. Step 4: Simplify right side
    147.20x = 11,261.57
  5. Step 5: Solve for x
    x = 11,261.57/147.20
  6. Step 6: Final answer
    x = 76.51

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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.