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Finding the Fourth Proportional to 144.52, 216.78 and 53.24

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Solution

The fourth proportional to 144.52, 216.78 and 53.24 is: 79.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.52 : 216.78 = 53.24 : x
  2. Step 2: Convert to fraction form
    144.52/216.78 = 53.24/x
  3. Step 3: Cross multiply
    144.52x = 216.78 × 53.24
  4. Step 4: Simplify right side
    144.52x = 11,541.37
  5. Step 5: Solve for x
    x = 11,541.37/144.52
  6. Step 6: Final answer
    x = 79.86

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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.