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Finding the Fourth Proportional to 121.14, 181.76 and 39.98

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Solution

The fourth proportional to 121.14, 181.76 and 39.98 is: 59.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.14 : 181.76 = 39.98 : x
  2. Step 2: Convert to fraction form
    121.14/181.76 = 39.98/x
  3. Step 3: Cross multiply
    121.14x = 181.76 × 39.98
  4. Step 4: Simplify right side
    121.14x = 7,267.02
  5. Step 5: Solve for x
    x = 7,267.02/121.14
  6. Step 6: Final answer
    x = 59.99

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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.