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Finding the Fourth Proportional to 111.22, 165.98 and 104.08

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Solution

The fourth proportional to 111.22, 165.98 and 104.08 is: 155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.22 : 165.98 = 104.08 : x
  2. Step 2: Convert to fraction form
    111.22/165.98 = 104.08/x
  3. Step 3: Cross multiply
    111.22x = 165.98 × 104.08
  4. Step 4: Simplify right side
    111.22x = 17,275.20
  5. Step 5: Solve for x
    x = 17,275.20/111.22
  6. Step 6: Final answer
    x = 155.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.