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Finding the Fourth Proportional to 97.95, 135.14 and 78.27

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Solution

The fourth proportional to 97.95, 135.14 and 78.27 is: 107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.95 : 135.14 = 78.27 : x
  2. Step 2: Convert to fraction form
    97.95/135.14 = 78.27/x
  3. Step 3: Cross multiply
    97.95x = 135.14 × 78.27
  4. Step 4: Simplify right side
    97.95x = 10,577.41
  5. Step 5: Solve for x
    x = 10,577.41/97.95
  6. Step 6: Final answer
    x = 107.99

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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.