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Finding the Fourth Proportional to 121.16, 181.64 and 66.98

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Solution

The fourth proportional to 121.16, 181.64 and 66.98 is: 100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.16 : 181.64 = 66.98 : x
  2. Step 2: Convert to fraction form
    121.16/181.64 = 66.98/x
  3. Step 3: Cross multiply
    121.16x = 181.64 × 66.98
  4. Step 4: Simplify right side
    121.16x = 12,166.25
  5. Step 5: Solve for x
    x = 12,166.25/121.16
  6. Step 6: Final answer
    x = 100.41

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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.