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Finding the Fourth Proportional to 53.98, 80.82 and 45.88

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Solution

The fourth proportional to 53.98, 80.82 and 45.88 is: 68.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.98 : 80.82 = 45.88 : x
  2. Step 2: Convert to fraction form
    53.98/80.82 = 45.88/x
  3. Step 3: Cross multiply
    53.98x = 80.82 × 45.88
  4. Step 4: Simplify right side
    53.98x = 3,708.02
  5. Step 5: Solve for x
    x = 3,708.02/53.98
  6. Step 6: Final answer
    x = 68.69

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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.