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Finding the Fourth Proportional to 111.02, 166.40 and 62.26

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Solution

The fourth proportional to 111.02, 166.40 and 62.26 is: 93.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 166.40 = 62.26 : x
  2. Step 2: Convert to fraction form
    111.02/166.40 = 62.26/x
  3. Step 3: Cross multiply
    111.02x = 166.40 × 62.26
  4. Step 4: Simplify right side
    111.02x = 10,360.06
  5. Step 5: Solve for x
    x = 10,360.06/111.02
  6. Step 6: Final answer
    x = 93.32

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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.