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Finding the Fourth Proportional to 53.22, 73.46 and 35.74

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Solution

The fourth proportional to 53.22, 73.46 and 35.74 is: 49.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.22 : 73.46 = 35.74 : x
  2. Step 2: Convert to fraction form
    53.22/73.46 = 35.74/x
  3. Step 3: Cross multiply
    53.22x = 73.46 × 35.74
  4. Step 4: Simplify right side
    53.22x = 2,625.10
  5. Step 5: Solve for x
    x = 2,625.10/53.22
  6. Step 6: Final answer
    x = 49.33

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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.