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Finding the Fourth Proportional to 82.16, 122.62 and 76.80

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Solution

The fourth proportional to 82.16, 122.62 and 76.80 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 122.62 = 76.80 : x
  2. Step 2: Convert to fraction form
    82.16/122.62 = 76.80/x
  3. Step 3: Cross multiply
    82.16x = 122.62 × 76.80
  4. Step 4: Simplify right side
    82.16x = 9,417.22
  5. Step 5: Solve for x
    x = 9,417.22/82.16
  6. Step 6: Final answer
    x = 114.62

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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.