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Finding the Fourth Proportional to 147.90, 221.86 and 45.19

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Solution

The fourth proportional to 147.90, 221.86 and 45.19 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.90 : 221.86 = 45.19 : x
  2. Step 2: Convert to fraction form
    147.90/221.86 = 45.19/x
  3. Step 3: Cross multiply
    147.90x = 221.86 × 45.19
  4. Step 4: Simplify right side
    147.90x = 10,024.94
  5. Step 5: Solve for x
    x = 10,024.94/147.90
  6. Step 6: Final answer
    x = 67.78

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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.