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Finding the Fourth Proportional to 111.82, 154.27 and 88.51

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Solution

The fourth proportional to 111.82, 154.27 and 88.51 is: 122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.82 : 154.27 = 88.51 : x
  2. Step 2: Convert to fraction form
    111.82/154.27 = 88.51/x
  3. Step 3: Cross multiply
    111.82x = 154.27 × 88.51
  4. Step 4: Simplify right side
    111.82x = 13,653.22
  5. Step 5: Solve for x
    x = 13,653.22/111.82
  6. Step 6: Final answer
    x = 122.11

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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.