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Finding the Fourth Proportional to 144, 215.68 and 109.77

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Solution

The fourth proportional to 144, 215.68 and 109.77 is: 164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 215.68 = 109.77 : x
  2. Step 2: Convert to fraction form
    144/215.68 = 109.77/x
  3. Step 3: Cross multiply
    144x = 215.68 × 109.77
  4. Step 4: Simplify right side
    144x = 23,675.19
  5. Step 5: Solve for x
    x = 23,675.19/144
  6. Step 6: Final answer
    x = 164.41

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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.