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Finding the Fourth Proportional to 97.86, 134.85 and 77.16

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Solution

The fourth proportional to 97.86, 134.85 and 77.16 is: 106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.86 : 134.85 = 77.16 : x
  2. Step 2: Convert to fraction form
    97.86/134.85 = 77.16/x
  3. Step 3: Cross multiply
    97.86x = 134.85 × 77.16
  4. Step 4: Simplify right side
    97.86x = 10,405.03
  5. Step 5: Solve for x
    x = 10,405.03/97.86
  6. Step 6: Final answer
    x = 106.33

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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.