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Finding the Fourth Proportional to 121.10, 166.86 and 84.24

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Solution

The fourth proportional to 121.10, 166.86 and 84.24 is: 116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.10 : 166.86 = 84.24 : x
  2. Step 2: Convert to fraction form
    121.10/166.86 = 84.24/x
  3. Step 3: Cross multiply
    121.10x = 166.86 × 84.24
  4. Step 4: Simplify right side
    121.10x = 14,056.29
  5. Step 5: Solve for x
    x = 14,056.29/121.10
  6. Step 6: Final answer
    x = 116.08

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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.