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Finding the Fourth Proportional to 56.45, 84.65 and 33.63

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Solution

The fourth proportional to 56.45, 84.65 and 33.63 is: 50.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.45 : 84.65 = 33.63 : x
  2. Step 2: Convert to fraction form
    56.45/84.65 = 33.63/x
  3. Step 3: Cross multiply
    56.45x = 84.65 × 33.63
  4. Step 4: Simplify right side
    56.45x = 2,846.77
  5. Step 5: Solve for x
    x = 2,846.77/56.45
  6. Step 6: Final answer
    x = 50.43

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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.