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Finding the Fourth Proportional to 147.78, 221.81 and 66.66

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Solution

The fourth proportional to 147.78, 221.81 and 66.66 is: 100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 221.81 = 66.66 : x
  2. Step 2: Convert to fraction form
    147.78/221.81 = 66.66/x
  3. Step 3: Cross multiply
    147.78x = 221.81 × 66.66
  4. Step 4: Simplify right side
    147.78x = 14,785.85
  5. Step 5: Solve for x
    x = 14,785.85/147.78
  6. Step 6: Final answer
    x = 100.05

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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.