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Finding the Fourth Proportional to 144.47, 216.66 and 67.39

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Solution

The fourth proportional to 144.47, 216.66 and 67.39 is: 101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.47 : 216.66 = 67.39 : x
  2. Step 2: Convert to fraction form
    144.47/216.66 = 67.39/x
  3. Step 3: Cross multiply
    144.47x = 216.66 × 67.39
  4. Step 4: Simplify right side
    144.47x = 14,600.72
  5. Step 5: Solve for x
    x = 14,600.72/144.47
  6. Step 6: Final answer
    x = 101.06

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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.