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Finding the Fourth Proportional to 111.04, 152.22 and 109.16

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Solution

The fourth proportional to 111.04, 152.22 and 109.16 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.04 : 152.22 = 109.16 : x
  2. Step 2: Convert to fraction form
    111.04/152.22 = 109.16/x
  3. Step 3: Cross multiply
    111.04x = 152.22 × 109.16
  4. Step 4: Simplify right side
    111.04x = 16,616.34
  5. Step 5: Solve for x
    x = 16,616.34/111.04
  6. Step 6: Final answer
    x = 149.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.