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Finding the Fourth Proportional to 97.98, 135.07 and 77.28

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Solution

The fourth proportional to 97.98, 135.07 and 77.28 is: 106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.98 : 135.07 = 77.28 : x
  2. Step 2: Convert to fraction form
    97.98/135.07 = 77.28/x
  3. Step 3: Cross multiply
    97.98x = 135.07 × 77.28
  4. Step 4: Simplify right side
    97.98x = 10,438.21
  5. Step 5: Solve for x
    x = 10,438.21/97.98
  6. Step 6: Final answer
    x = 106.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.