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Finding the Fourth Proportional to 147.74, 221.49 and 51.50

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Solution

The fourth proportional to 147.74, 221.49 and 51.50 is: 77.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.74 : 221.49 = 51.50 : x
  2. Step 2: Convert to fraction form
    147.74/221.49 = 51.50/x
  3. Step 3: Cross multiply
    147.74x = 221.49 × 51.50
  4. Step 4: Simplify right side
    147.74x = 11,406.74
  5. Step 5: Solve for x
    x = 11,406.74/147.74
  6. Step 6: Final answer
    x = 77.21

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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.