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Finding the Fourth Proportional to 144.86, 216.98 and 109.01

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Solution

The fourth proportional to 144.86, 216.98 and 109.01 is: 163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.86 : 216.98 = 109.01 : x
  2. Step 2: Convert to fraction form
    144.86/216.98 = 109.01/x
  3. Step 3: Cross multiply
    144.86x = 216.98 × 109.01
  4. Step 4: Simplify right side
    144.86x = 23,653.40
  5. Step 5: Solve for x
    x = 23,653.40/144.86
  6. Step 6: Final answer
    x = 163.29

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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.