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Finding the Fourth Proportional to 144.77, 217.35 and 99

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Solution

The fourth proportional to 144.77, 217.35 and 99 is: 148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.77 : 217.35 = 99 : x
  2. Step 2: Convert to fraction form
    144.77/217.35 = 99/x
  3. Step 3: Cross multiply
    144.77x = 217.35 × 99
  4. Step 4: Simplify right side
    144.77x = 21,517.65
  5. Step 5: Solve for x
    x = 21,517.65/144.77
  6. Step 6: Final answer
    x = 148.64

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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.