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Finding the Fourth Proportional to 55.37, 82.97 and 24.88

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Solution

The fourth proportional to 55.37, 82.97 and 24.88 is: 37.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.37 : 82.97 = 24.88 : x
  2. Step 2: Convert to fraction form
    55.37/82.97 = 24.88/x
  3. Step 3: Cross multiply
    55.37x = 82.97 × 24.88
  4. Step 4: Simplify right side
    55.37x = 2,064.29
  5. Step 5: Solve for x
    x = 2,064.29/55.37
  6. Step 6: Final answer
    x = 37.28

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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.