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Finding the Fourth Proportional to 144.01, 216.06 and 47.82

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Solution

The fourth proportional to 144.01, 216.06 and 47.82 is: 71.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.01 : 216.06 = 47.82 : x
  2. Step 2: Convert to fraction form
    144.01/216.06 = 47.82/x
  3. Step 3: Cross multiply
    144.01x = 216.06 × 47.82
  4. Step 4: Simplify right side
    144.01x = 10,331.99
  5. Step 5: Solve for x
    x = 10,331.99/144.01
  6. Step 6: Final answer
    x = 71.74

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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.