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Finding the Fourth Proportional to 215.49, 323.24 and 53.17

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Solution

The fourth proportional to 215.49, 323.24 and 53.17 is: 79.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.49 : 323.24 = 53.17 : x
  2. Step 2: Convert to fraction form
    215.49/323.24 = 53.17/x
  3. Step 3: Cross multiply
    215.49x = 323.24 × 53.17
  4. Step 4: Simplify right side
    215.49x = 17,186.67
  5. Step 5: Solve for x
    x = 17,186.67/215.49
  6. Step 6: Final answer
    x = 79.76

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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.