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Finding the Fourth Proportional to 51.64, 71.26 and 33.22

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Solution

The fourth proportional to 51.64, 71.26 and 33.22 is: 45.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.64 : 71.26 = 33.22 : x
  2. Step 2: Convert to fraction form
    51.64/71.26 = 33.22/x
  3. Step 3: Cross multiply
    51.64x = 71.26 × 33.22
  4. Step 4: Simplify right side
    51.64x = 2,367.26
  5. Step 5: Solve for x
    x = 2,367.26/51.64
  6. Step 6: Final answer
    x = 45.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.