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Finding the Fourth Proportional to 144.84, 217.24 and 58.17

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Solution

The fourth proportional to 144.84, 217.24 and 58.17 is: 87.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.84 : 217.24 = 58.17 : x
  2. Step 2: Convert to fraction form
    144.84/217.24 = 58.17/x
  3. Step 3: Cross multiply
    144.84x = 217.24 × 58.17
  4. Step 4: Simplify right side
    144.84x = 12,637.38
  5. Step 5: Solve for x
    x = 12,637.38/144.84
  6. Step 6: Final answer
    x = 87.25

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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.