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Finding the Fourth Proportional to 121.94, 167.77 and 89.10

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Solution

The fourth proportional to 121.94, 167.77 and 89.10 is: 122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.94 : 167.77 = 89.10 : x
  2. Step 2: Convert to fraction form
    121.94/167.77 = 89.10/x
  3. Step 3: Cross multiply
    121.94x = 167.77 × 89.10
  4. Step 4: Simplify right side
    121.94x = 14,948.31
  5. Step 5: Solve for x
    x = 14,948.31/121.94
  6. Step 6: Final answer
    x = 122.59

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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.