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Finding the Fourth Proportional to 122.98, 184.59 and 65.27

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Solution

The fourth proportional to 122.98, 184.59 and 65.27 is: 97.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.98 : 184.59 = 65.27 : x
  2. Step 2: Convert to fraction form
    122.98/184.59 = 65.27/x
  3. Step 3: Cross multiply
    122.98x = 184.59 × 65.27
  4. Step 4: Simplify right side
    122.98x = 12,048.19
  5. Step 5: Solve for x
    x = 12,048.19/122.98
  6. Step 6: Final answer
    x = 97.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.