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Finding the Fourth Proportional to 97.85, 146.90 and 52.22

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Solution

The fourth proportional to 97.85, 146.90 and 52.22 is: 78.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.85 : 146.90 = 52.22 : x
  2. Step 2: Convert to fraction form
    97.85/146.90 = 52.22/x
  3. Step 3: Cross multiply
    97.85x = 146.90 × 52.22
  4. Step 4: Simplify right side
    97.85x = 7,671.22
  5. Step 5: Solve for x
    x = 7,671.22/97.85
  6. Step 6: Final answer
    x = 78.40

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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.