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Finding the Fourth Proportional to 97.84, 135.07 and 77.05

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Solution

The fourth proportional to 97.84, 135.07 and 77.05 is: 106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 135.07 = 77.05 : x
  2. Step 2: Convert to fraction form
    97.84/135.07 = 77.05/x
  3. Step 3: Cross multiply
    97.84x = 135.07 × 77.05
  4. Step 4: Simplify right side
    97.84x = 10,407.12
  5. Step 5: Solve for x
    x = 10,407.12/97.84
  6. Step 6: Final answer
    x = 106.37

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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.