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Finding the Fourth Proportional to 97.49, 146.16 and 87.80

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Solution

The fourth proportional to 97.49, 146.16 and 87.80 is: 131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.49 : 146.16 = 87.80 : x
  2. Step 2: Convert to fraction form
    97.49/146.16 = 87.80/x
  3. Step 3: Cross multiply
    97.49x = 146.16 × 87.80
  4. Step 4: Simplify right side
    97.49x = 12,832.12
  5. Step 5: Solve for x
    x = 12,832.12/97.49
  6. Step 6: Final answer
    x = 131.63

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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.