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Finding the Fourth Proportional to 53.80, 73.92 and 49

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Solution

The fourth proportional to 53.80, 73.92 and 49 is: 67.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.80 : 73.92 = 49 : x
  2. Step 2: Convert to fraction form
    53.80/73.92 = 49/x
  3. Step 3: Cross multiply
    53.80x = 73.92 × 49
  4. Step 4: Simplify right side
    53.80x = 3,622.08
  5. Step 5: Solve for x
    x = 3,622.08/53.80
  6. Step 6: Final answer
    x = 67.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.