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Finding the Fourth Proportional to 148.01, 221.85 and 51.80

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Solution

The fourth proportional to 148.01, 221.85 and 51.80 is: 77.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.01 : 221.85 = 51.80 : x
  2. Step 2: Convert to fraction form
    148.01/221.85 = 51.80/x
  3. Step 3: Cross multiply
    148.01x = 221.85 × 51.80
  4. Step 4: Simplify right side
    148.01x = 11,490.72
  5. Step 5: Solve for x
    x = 11,490.72/148.01
  6. Step 6: Final answer
    x = 77.64

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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.