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Finding the Fourth Proportional to 111.05, 153.11 and 91.31

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Solution

The fourth proportional to 111.05, 153.11 and 91.31 is: 125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.05 : 153.11 = 91.31 : x
  2. Step 2: Convert to fraction form
    111.05/153.11 = 91.31/x
  3. Step 3: Cross multiply
    111.05x = 153.11 × 91.31
  4. Step 4: Simplify right side
    111.05x = 13,980.47
  5. Step 5: Solve for x
    x = 13,980.47/111.05
  6. Step 6: Final answer
    x = 125.89

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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.