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Finding the Fourth Proportional to 144, 216.36 and 113.76

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Solution

The fourth proportional to 144, 216.36 and 113.76 is: 170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 216.36 = 113.76 : x
  2. Step 2: Convert to fraction form
    144/216.36 = 113.76/x
  3. Step 3: Cross multiply
    144x = 216.36 × 113.76
  4. Step 4: Simplify right side
    144x = 24,613.11
  5. Step 5: Solve for x
    x = 24,613.11/144
  6. Step 6: Final answer
    x = 170.92

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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.