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Finding the Fourth Proportional to 121.97, 183.02 and 78.64

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Solution

The fourth proportional to 121.97, 183.02 and 78.64 is: 118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.97 : 183.02 = 78.64 : x
  2. Step 2: Convert to fraction form
    121.97/183.02 = 78.64/x
  3. Step 3: Cross multiply
    121.97x = 183.02 × 78.64
  4. Step 4: Simplify right side
    121.97x = 14,392.69
  5. Step 5: Solve for x
    x = 14,392.69/121.97
  6. Step 6: Final answer
    x = 118.00

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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.