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Finding the Fourth Proportional to 111.04, 152.96 and 89.12

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Solution

The fourth proportional to 111.04, 152.96 and 89.12 is: 122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.04 : 152.96 = 89.12 : x
  2. Step 2: Convert to fraction form
    111.04/152.96 = 89.12/x
  3. Step 3: Cross multiply
    111.04x = 152.96 × 89.12
  4. Step 4: Simplify right side
    111.04x = 13,631.80
  5. Step 5: Solve for x
    x = 13,631.80/111.04
  6. Step 6: Final answer
    x = 122.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.