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Finding the Fourth Proportional to 56.06, 84 and 36.82

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Solution

The fourth proportional to 56.06, 84 and 36.82 is: 55.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.06 : 84 = 36.82 : x
  2. Step 2: Convert to fraction form
    56.06/84 = 36.82/x
  3. Step 3: Cross multiply
    56.06x = 84 × 36.82
  4. Step 4: Simplify right side
    56.06x = 3,092.88
  5. Step 5: Solve for x
    x = 3,092.88/56.06
  6. Step 6: Final answer
    x = 55.17

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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.