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Finding the Fourth Proportional to 121.47, 167.60 and 72.34

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Solution

The fourth proportional to 121.47, 167.60 and 72.34 is: 99.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.47 : 167.60 = 72.34 : x
  2. Step 2: Convert to fraction form
    121.47/167.60 = 72.34/x
  3. Step 3: Cross multiply
    121.47x = 167.60 × 72.34
  4. Step 4: Simplify right side
    121.47x = 12,124.18
  5. Step 5: Solve for x
    x = 12,124.18/121.47
  6. Step 6: Final answer
    x = 99.81

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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.