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Finding the Fourth Proportional to 97.93, 147.13 and 81.80

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Solution

The fourth proportional to 97.93, 147.13 and 81.80 is: 122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.93 : 147.13 = 81.80 : x
  2. Step 2: Convert to fraction form
    97.93/147.13 = 81.80/x
  3. Step 3: Cross multiply
    97.93x = 147.13 × 81.80
  4. Step 4: Simplify right side
    97.93x = 12,035.23
  5. Step 5: Solve for x
    x = 12,035.23/97.93
  6. Step 6: Final answer
    x = 122.90

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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.