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Finding the Fourth Proportional to 121.07, 167.06 and 71.28

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Solution

The fourth proportional to 121.07, 167.06 and 71.28 is: 98.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.07 : 167.06 = 71.28 : x
  2. Step 2: Convert to fraction form
    121.07/167.06 = 71.28/x
  3. Step 3: Cross multiply
    121.07x = 167.06 × 71.28
  4. Step 4: Simplify right side
    121.07x = 11,908.22
  5. Step 5: Solve for x
    x = 11,908.22/121.07
  6. Step 6: Final answer
    x = 98.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.