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Finding the Fourth Proportional to 121.00, 181.50 and 34.34

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Solution

The fourth proportional to 121.00, 181.50 and 34.34 is: 51.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.00 : 181.50 = 34.34 : x
  2. Step 2: Convert to fraction form
    121.00/181.50 = 34.34/x
  3. Step 3: Cross multiply
    121.00x = 181.50 × 34.34
  4. Step 4: Simplify right side
    121.00x = 6,232.71
  5. Step 5: Solve for x
    x = 6,232.71/121.00
  6. Step 6: Final answer
    x = 51.51

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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.