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Finding the Fourth Proportional to 57.80, 82.02 and 57.80

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Solution

The fourth proportional to 57.80, 82.02 and 57.80 is: 82.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.80 : 82.02 = 57.80 : x
  2. Step 2: Convert to fraction form
    57.80/82.02 = 57.80/x
  3. Step 3: Cross multiply
    57.80x = 82.02 × 57.80
  4. Step 4: Simplify right side
    57.80x = 4,740.76
  5. Step 5: Solve for x
    x = 4,740.76/57.80
  6. Step 6: Final answer
    x = 82.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.