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Finding the Fourth Proportional to 153.90, 230.85 and 110.87

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Solution

The fourth proportional to 153.90, 230.85 and 110.87 is: 166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.90 : 230.85 = 110.87 : x
  2. Step 2: Convert to fraction form
    153.90/230.85 = 110.87/x
  3. Step 3: Cross multiply
    153.90x = 230.85 × 110.87
  4. Step 4: Simplify right side
    153.90x = 25,594.05
  5. Step 5: Solve for x
    x = 25,594.05/153.90
  6. Step 6: Final answer
    x = 166.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.