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Finding the Fourth Proportional to 111.01, 166.52 and 65.26

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Solution

The fourth proportional to 111.01, 166.52 and 65.26 is: 97.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.01 : 166.52 = 65.26 : x
  2. Step 2: Convert to fraction form
    111.01/166.52 = 65.26/x
  3. Step 3: Cross multiply
    111.01x = 166.52 × 65.26
  4. Step 4: Simplify right side
    111.01x = 10,867.10
  5. Step 5: Solve for x
    x = 10,867.10/111.01
  6. Step 6: Final answer
    x = 97.89

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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.