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Finding the Fourth Proportional to 57.80, 86.58 and 55.07

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Solution

The fourth proportional to 57.80, 86.58 and 55.07 is: 82.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.80 : 86.58 = 55.07 : x
  2. Step 2: Convert to fraction form
    57.80/86.58 = 55.07/x
  3. Step 3: Cross multiply
    57.80x = 86.58 × 55.07
  4. Step 4: Simplify right side
    57.80x = 4,768.18
  5. Step 5: Solve for x
    x = 4,768.18/57.80
  6. Step 6: Final answer
    x = 82.49

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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.