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Finding the Fourth Proportional to 82.02, 122.19 and 78.15

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Solution

The fourth proportional to 82.02, 122.19 and 78.15 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.02 : 122.19 = 78.15 : x
  2. Step 2: Convert to fraction form
    82.02/122.19 = 78.15/x
  3. Step 3: Cross multiply
    82.02x = 122.19 × 78.15
  4. Step 4: Simplify right side
    82.02x = 9,549.15
  5. Step 5: Solve for x
    x = 9,549.15/82.02
  6. Step 6: Final answer
    x = 116.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.