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Finding the Fourth Proportional to 144.86, 217.30 and 48.64

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Solution

The fourth proportional to 144.86, 217.30 and 48.64 is: 72.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.86 : 217.30 = 48.64 : x
  2. Step 2: Convert to fraction form
    144.86/217.30 = 48.64/x
  3. Step 3: Cross multiply
    144.86x = 217.30 × 48.64
  4. Step 4: Simplify right side
    144.86x = 10,569.47
  5. Step 5: Solve for x
    x = 10,569.47/144.86
  6. Step 6: Final answer
    x = 72.96

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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.