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Finding the Fourth Proportional to 148.21, 222.32 and 52.02

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Solution

The fourth proportional to 148.21, 222.32 and 52.02 is: 78.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.21 : 222.32 = 52.02 : x
  2. Step 2: Convert to fraction form
    148.21/222.32 = 52.02/x
  3. Step 3: Cross multiply
    148.21x = 222.32 × 52.02
  4. Step 4: Simplify right side
    148.21x = 11,565.09
  5. Step 5: Solve for x
    x = 11,565.09/148.21
  6. Step 6: Final answer
    x = 78.03

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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.