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Finding the Fourth Proportional to 122.32, 184.16 and 114.40

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Solution

The fourth proportional to 122.32, 184.16 and 114.40 is: 172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.32 : 184.16 = 114.40 : x
  2. Step 2: Convert to fraction form
    122.32/184.16 = 114.40/x
  3. Step 3: Cross multiply
    122.32x = 184.16 × 114.40
  4. Step 4: Simplify right side
    122.32x = 21,067.90
  5. Step 5: Solve for x
    x = 21,067.90/122.32
  6. Step 6: Final answer
    x = 172.24

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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.