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Finding the Fourth Proportional to 144.81, 216.80 and 96.11

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Solution

The fourth proportional to 144.81, 216.80 and 96.11 is: 143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 216.80 = 96.11 : x
  2. Step 2: Convert to fraction form
    144.81/216.80 = 96.11/x
  3. Step 3: Cross multiply
    144.81x = 216.80 × 96.11
  4. Step 4: Simplify right side
    144.81x = 20,837.14
  5. Step 5: Solve for x
    x = 20,837.14/144.81
  6. Step 6: Final answer
    x = 143.89

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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.