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Finding the Fourth Proportional to 97.60, 146.72 and 77.56

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Solution

The fourth proportional to 97.60, 146.72 and 77.56 is: 116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.60 : 146.72 = 77.56 : x
  2. Step 2: Convert to fraction form
    97.60/146.72 = 77.56/x
  3. Step 3: Cross multiply
    97.60x = 146.72 × 77.56
  4. Step 4: Simplify right side
    97.60x = 11,379.60
  5. Step 5: Solve for x
    x = 11,379.60/97.60
  6. Step 6: Final answer
    x = 116.59

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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.