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Finding the Fourth Proportional to 148.90, 222.91 and 110.55

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Solution

The fourth proportional to 148.90, 222.91 and 110.55 is: 165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.90 : 222.91 = 110.55 : x
  2. Step 2: Convert to fraction form
    148.90/222.91 = 110.55/x
  3. Step 3: Cross multiply
    148.90x = 222.91 × 110.55
  4. Step 4: Simplify right side
    148.90x = 24,642.15
  5. Step 5: Solve for x
    x = 24,642.15/148.90
  6. Step 6: Final answer
    x = 165.50

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Why These Related Problems?

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