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Finding the Fourth Proportional to 111.13, 166.43 and 65.51

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Solution

The fourth proportional to 111.13, 166.43 and 65.51 is: 98.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.13 : 166.43 = 65.51 : x
  2. Step 2: Convert to fraction form
    111.13/166.43 = 65.51/x
  3. Step 3: Cross multiply
    111.13x = 166.43 × 65.51
  4. Step 4: Simplify right side
    111.13x = 10,902.79
  5. Step 5: Solve for x
    x = 10,902.79/111.13
  6. Step 6: Final answer
    x = 98.11

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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.