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Finding the Fourth Proportional to 121.24, 181.62 and 99.30

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Solution

The fourth proportional to 121.24, 181.62 and 99.30 is: 148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.24 : 181.62 = 99.30 : x
  2. Step 2: Convert to fraction form
    121.24/181.62 = 99.30/x
  3. Step 3: Cross multiply
    121.24x = 181.62 × 99.30
  4. Step 4: Simplify right side
    121.24x = 18,035.55
  5. Step 5: Solve for x
    x = 18,035.55/121.24
  6. Step 6: Final answer
    x = 148.76

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