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Finding the Fourth Proportional to 144.14, 216.16 and 52.83

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Solution

The fourth proportional to 144.14, 216.16 and 52.83 is: 79.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 216.16 = 52.83 : x
  2. Step 2: Convert to fraction form
    144.14/216.16 = 52.83/x
  3. Step 3: Cross multiply
    144.14x = 216.16 × 52.83
  4. Step 4: Simplify right side
    144.14x = 11,419.60
  5. Step 5: Solve for x
    x = 11,419.60/144.14
  6. Step 6: Final answer
    x = 79.23

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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.