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Finding the Fourth Proportional to 122.14, 183.24 and 64.36

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Solution

The fourth proportional to 122.14, 183.24 and 64.36 is: 96.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.14 : 183.24 = 64.36 : x
  2. Step 2: Convert to fraction form
    122.14/183.24 = 64.36/x
  3. Step 3: Cross multiply
    122.14x = 183.24 × 64.36
  4. Step 4: Simplify right side
    122.14x = 11,792.25
  5. Step 5: Solve for x
    x = 11,792.25/122.14
  6. Step 6: Final answer
    x = 96.55

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Why These Related Problems?

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