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Finding the Fourth Proportional to 82.36, 122.65 and 78.85

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Solution

The fourth proportional to 82.36, 122.65 and 78.85 is: 117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.36 : 122.65 = 78.85 : x
  2. Step 2: Convert to fraction form
    82.36/122.65 = 78.85/x
  3. Step 3: Cross multiply
    82.36x = 122.65 × 78.85
  4. Step 4: Simplify right side
    82.36x = 9,670.45
  5. Step 5: Solve for x
    x = 9,670.45/82.36
  6. Step 6: Final answer
    x = 117.42

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