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Finding the Fourth Proportional to 121.45, 167.60 and 69.00

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Solution

The fourth proportional to 121.45, 167.60 and 69.00 is: 95.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.45 : 167.60 = 69.00 : x
  2. Step 2: Convert to fraction form
    121.45/167.60 = 69.00/x
  3. Step 3: Cross multiply
    121.45x = 167.60 × 69.00
  4. Step 4: Simplify right side
    121.45x = 11,564.47
  5. Step 5: Solve for x
    x = 11,564.47/121.45
  6. Step 6: Final answer
    x = 95.22

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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.