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Finding the Fourth Proportional to 144.06, 216.09 and 57.39

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Solution

The fourth proportional to 144.06, 216.09 and 57.39 is: 86.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.06 : 216.09 = 57.39 : x
  2. Step 2: Convert to fraction form
    144.06/216.09 = 57.39/x
  3. Step 3: Cross multiply
    144.06x = 216.09 × 57.39
  4. Step 4: Simplify right side
    144.06x = 12,400.86
  5. Step 5: Solve for x
    x = 12,400.86/144.06
  6. Step 6: Final answer
    x = 86.08

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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.