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Finding the Fourth Proportional to 82.57, 122.99 and 78.62

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Solution

The fourth proportional to 82.57, 122.99 and 78.62 is: 117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 122.99 = 78.62 : x
  2. Step 2: Convert to fraction form
    82.57/122.99 = 78.62/x
  3. Step 3: Cross multiply
    82.57x = 122.99 × 78.62
  4. Step 4: Simplify right side
    82.57x = 9,669.82
  5. Step 5: Solve for x
    x = 9,669.82/82.57
  6. Step 6: Final answer
    x = 117.11

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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.