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Finding the Fourth Proportional to 121.96, 182.84 and 64.16

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Solution

The fourth proportional to 121.96, 182.84 and 64.16 is: 96.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.96 : 182.84 = 64.16 : x
  2. Step 2: Convert to fraction form
    121.96/182.84 = 64.16/x
  3. Step 3: Cross multiply
    121.96x = 182.84 × 64.16
  4. Step 4: Simplify right side
    121.96x = 11,731.01
  5. Step 5: Solve for x
    x = 11,731.01/121.96
  6. Step 6: Final answer
    x = 96.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.