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Finding the Fourth Proportional to 55.06, 82.57 and 24.57

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Solution

The fourth proportional to 55.06, 82.57 and 24.57 is: 36.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.06 : 82.57 = 24.57 : x
  2. Step 2: Convert to fraction form
    55.06/82.57 = 24.57/x
  3. Step 3: Cross multiply
    55.06x = 82.57 × 24.57
  4. Step 4: Simplify right side
    55.06x = 2,028.74
  5. Step 5: Solve for x
    x = 2,028.74/55.06
  6. Step 6: Final answer
    x = 36.85

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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.