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Finding the Fourth Proportional to 82.50, 114.03 and 80.70

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Solution

The fourth proportional to 82.50, 114.03 and 80.70 is: 111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 114.03 = 80.70 : x
  2. Step 2: Convert to fraction form
    82.50/114.03 = 80.70/x
  3. Step 3: Cross multiply
    82.50x = 114.03 × 80.70
  4. Step 4: Simplify right side
    82.50x = 9,202.22
  5. Step 5: Solve for x
    x = 9,202.22/82.50
  6. Step 6: Final answer
    x = 111.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.