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Finding the Fourth Proportional to 97.85, 146.84 and 75.03

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Solution

The fourth proportional to 97.85, 146.84 and 75.03 is: 112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.85 : 146.84 = 75.03 : x
  2. Step 2: Convert to fraction form
    97.85/146.84 = 75.03/x
  3. Step 3: Cross multiply
    97.85x = 146.84 × 75.03
  4. Step 4: Simplify right side
    97.85x = 11,017.03
  5. Step 5: Solve for x
    x = 11,017.03/97.85
  6. Step 6: Final answer
    x = 112.60

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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.