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Finding the Fourth Proportional to 97.80, 135.09 and 77.10

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Solution

The fourth proportional to 97.80, 135.09 and 77.10 is: 106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.80 : 135.09 = 77.10 : x
  2. Step 2: Convert to fraction form
    97.80/135.09 = 77.10/x
  3. Step 3: Cross multiply
    97.80x = 135.09 × 77.10
  4. Step 4: Simplify right side
    97.80x = 10,415.44
  5. Step 5: Solve for x
    x = 10,415.44/97.80
  6. Step 6: Final answer
    x = 106.50

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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.