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Finding the Fourth Proportional to 111.35, 153.59 and 76.31

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Solution

The fourth proportional to 111.35, 153.59 and 76.31 is: 105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.35 : 153.59 = 76.31 : x
  2. Step 2: Convert to fraction form
    111.35/153.59 = 76.31/x
  3. Step 3: Cross multiply
    111.35x = 153.59 × 76.31
  4. Step 4: Simplify right side
    111.35x = 11,719.30
  5. Step 5: Solve for x
    x = 11,719.30/111.35
  6. Step 6: Final answer
    x = 105.25

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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.