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Finding the Fourth Proportional to 144.54, 216.76 and 47.02

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Solution

The fourth proportional to 144.54, 216.76 and 47.02 is: 70.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.54 : 216.76 = 47.02 : x
  2. Step 2: Convert to fraction form
    144.54/216.76 = 47.02/x
  3. Step 3: Cross multiply
    144.54x = 216.76 × 47.02
  4. Step 4: Simplify right side
    144.54x = 10,190.97
  5. Step 5: Solve for x
    x = 10,190.97/144.54
  6. Step 6: Final answer
    x = 70.51

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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.