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Finding the Fourth Proportional to 122.16, 184.14 and 115.10

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Solution

The fourth proportional to 122.16, 184.14 and 115.10 is: 173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 184.14 = 115.10 : x
  2. Step 2: Convert to fraction form
    122.16/184.14 = 115.10/x
  3. Step 3: Cross multiply
    122.16x = 184.14 × 115.10
  4. Step 4: Simplify right side
    122.16x = 21,195.00
  5. Step 5: Solve for x
    x = 21,195.00/122.16
  6. Step 6: Final answer
    x = 173.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.