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Finding the Fourth Proportional to 97.56, 146.20 and 49.40

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Solution

The fourth proportional to 97.56, 146.20 and 49.40 is: 74.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.56 : 146.20 = 49.40 : x
  2. Step 2: Convert to fraction form
    97.56/146.20 = 49.40/x
  3. Step 3: Cross multiply
    97.56x = 146.20 × 49.40
  4. Step 4: Simplify right side
    97.56x = 7,222.28
  5. Step 5: Solve for x
    x = 7,222.28/97.56
  6. Step 6: Final answer
    x = 74.03

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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.