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Finding the Fourth Proportional to 144.54, 216.68 and 57.83

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Solution

The fourth proportional to 144.54, 216.68 and 57.83 is: 86.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.54 : 216.68 = 57.83 : x
  2. Step 2: Convert to fraction form
    144.54/216.68 = 57.83/x
  3. Step 3: Cross multiply
    144.54x = 216.68 × 57.83
  4. Step 4: Simplify right side
    144.54x = 12,529.23
  5. Step 5: Solve for x
    x = 12,529.23/144.54
  6. Step 6: Final answer
    x = 86.68

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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.