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Finding the Fourth Proportional to 147.85, 221.80 and 45.14

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Solution

The fourth proportional to 147.85, 221.80 and 45.14 is: 67.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.85 : 221.80 = 45.14 : x
  2. Step 2: Convert to fraction form
    147.85/221.80 = 45.14/x
  3. Step 3: Cross multiply
    147.85x = 221.80 × 45.14
  4. Step 4: Simplify right side
    147.85x = 10,012.49
  5. Step 5: Solve for x
    x = 10,012.49/147.85
  6. Step 6: Final answer
    x = 67.72

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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.