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Finding the Fourth Proportional to 56.35, 84.46 and 23.82

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Solution

The fourth proportional to 56.35, 84.46 and 23.82 is: 35.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.35 : 84.46 = 23.82 : x
  2. Step 2: Convert to fraction form
    56.35/84.46 = 23.82/x
  3. Step 3: Cross multiply
    56.35x = 84.46 × 23.82
  4. Step 4: Simplify right side
    56.35x = 2,011.84
  5. Step 5: Solve for x
    x = 2,011.84/56.35
  6. Step 6: Final answer
    x = 35.70

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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.