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Finding the Fourth Proportional to 77.07, 105.87 and 70.41

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Solution

The fourth proportional to 77.07, 105.87 and 70.41 is: 96.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.07 : 105.87 = 70.41 : x
  2. Step 2: Convert to fraction form
    77.07/105.87 = 70.41/x
  3. Step 3: Cross multiply
    77.07x = 105.87 × 70.41
  4. Step 4: Simplify right side
    77.07x = 7,454.31
  5. Step 5: Solve for x
    x = 7,454.31/77.07
  6. Step 6: Final answer
    x = 96.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.