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Finding the Fourth Proportional to 153.88, 212.46 and 110.44

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Solution

The fourth proportional to 153.88, 212.46 and 110.44 is: 152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.88 : 212.46 = 110.44 : x
  2. Step 2: Convert to fraction form
    153.88/212.46 = 110.44/x
  3. Step 3: Cross multiply
    153.88x = 212.46 × 110.44
  4. Step 4: Simplify right side
    153.88x = 23,464.08
  5. Step 5: Solve for x
    x = 23,464.08/153.88
  6. Step 6: Final answer
    x = 152.48

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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.