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Finding the Fourth Proportional to 121.71, 168.74 and 115.47

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Solution

The fourth proportional to 121.71, 168.74 and 115.47 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.71 : 168.74 = 115.47 : x
  2. Step 2: Convert to fraction form
    121.71/168.74 = 115.47/x
  3. Step 3: Cross multiply
    121.71x = 168.74 × 115.47
  4. Step 4: Simplify right side
    121.71x = 19,484.26
  5. Step 5: Solve for x
    x = 19,484.26/121.71
  6. Step 6: Final answer
    x = 160.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.