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Finding the Fourth Proportional to 148.26, 222.38 and 52.06

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Solution

The fourth proportional to 148.26, 222.38 and 52.06 is: 78.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.26 : 222.38 = 52.06 : x
  2. Step 2: Convert to fraction form
    148.26/222.38 = 52.06/x
  3. Step 3: Cross multiply
    148.26x = 222.38 × 52.06
  4. Step 4: Simplify right side
    148.26x = 11,577.10
  5. Step 5: Solve for x
    x = 11,577.10/148.26
  6. Step 6: Final answer
    x = 78.09

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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.