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Finding the Fourth Proportional to 144, 215.82 and 75.58

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Solution

The fourth proportional to 144, 215.82 and 75.58 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 215.82 = 75.58 : x
  2. Step 2: Convert to fraction form
    144/215.82 = 75.58/x
  3. Step 3: Cross multiply
    144x = 215.82 × 75.58
  4. Step 4: Simplify right side
    144x = 16,311.14
  5. Step 5: Solve for x
    x = 16,311.14/144
  6. Step 6: Final answer
    x = 113.27

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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.