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Finding the Fourth Proportional to 97.70, 146.73 and 87.26

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Solution

The fourth proportional to 97.70, 146.73 and 87.26 is: 131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.70 : 146.73 = 87.26 : x
  2. Step 2: Convert to fraction form
    97.70/146.73 = 87.26/x
  3. Step 3: Cross multiply
    97.70x = 146.73 × 87.26
  4. Step 4: Simplify right side
    97.70x = 12,803.66
  5. Step 5: Solve for x
    x = 12,803.66/97.70
  6. Step 6: Final answer
    x = 131.05

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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.