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Finding the Fourth Proportional to 147.85, 221.73 and 45.10

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Solution

The fourth proportional to 147.85, 221.73 and 45.10 is: 67.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.85 : 221.73 = 45.10 : x
  2. Step 2: Convert to fraction form
    147.85/221.73 = 45.10/x
  3. Step 3: Cross multiply
    147.85x = 221.73 × 45.10
  4. Step 4: Simplify right side
    147.85x = 10,000.02
  5. Step 5: Solve for x
    x = 10,000.02/147.85
  6. Step 6: Final answer
    x = 67.64

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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.