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Finding the Fourth Proportional to 144.02, 216.01 and 47.81

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Solution

The fourth proportional to 144.02, 216.01 and 47.81 is: 71.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.02 : 216.01 = 47.81 : x
  2. Step 2: Convert to fraction form
    144.02/216.01 = 47.81/x
  3. Step 3: Cross multiply
    144.02x = 216.01 × 47.81
  4. Step 4: Simplify right side
    144.02x = 10,327.86
  5. Step 5: Solve for x
    x = 10,327.86/144.02
  6. Step 6: Final answer
    x = 71.71

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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.