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Finding the Fourth Proportional to 121.36, 181.64 and 89.36

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Solution

The fourth proportional to 121.36, 181.64 and 89.36 is: 133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.36 : 181.64 = 89.36 : x
  2. Step 2: Convert to fraction form
    121.36/181.64 = 89.36/x
  3. Step 3: Cross multiply
    121.36x = 181.64 × 89.36
  4. Step 4: Simplify right side
    121.36x = 16,231.35
  5. Step 5: Solve for x
    x = 16,231.35/121.36
  6. Step 6: Final answer
    x = 133.75

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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.