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Finding the Fourth Proportional to 121.64, 183.32 and 103.82

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Solution

The fourth proportional to 121.64, 183.32 and 103.82 is: 156.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.64 : 183.32 = 103.82 : x
  2. Step 2: Convert to fraction form
    121.64/183.32 = 103.82/x
  3. Step 3: Cross multiply
    121.64x = 183.32 × 103.82
  4. Step 4: Simplify right side
    121.64x = 19,032.28
  5. Step 5: Solve for x
    x = 19,032.28/121.64
  6. Step 6: Final answer
    x = 156.46

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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.