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Finding the Fourth Proportional to 148.01, 221.92 and 56.65

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Solution

The fourth proportional to 148.01, 221.92 and 56.65 is: 84.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.01 : 221.92 = 56.65 : x
  2. Step 2: Convert to fraction form
    148.01/221.92 = 56.65/x
  3. Step 3: Cross multiply
    148.01x = 221.92 × 56.65
  4. Step 4: Simplify right side
    148.01x = 12,571.48
  5. Step 5: Solve for x
    x = 12,571.48/148.01
  6. Step 6: Final answer
    x = 84.94

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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.