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Finding the Fourth Proportional to 97.19, 133.86 and 78.71

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Solution

The fourth proportional to 97.19, 133.86 and 78.71 is: 108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.19 : 133.86 = 78.71 : x
  2. Step 2: Convert to fraction form
    97.19/133.86 = 78.71/x
  3. Step 3: Cross multiply
    97.19x = 133.86 × 78.71
  4. Step 4: Simplify right side
    97.19x = 10,535.45
  5. Step 5: Solve for x
    x = 10,535.45/97.19
  6. Step 6: Final answer
    x = 108.41

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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.