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Finding the Fourth Proportional to 85.06, 128.19 and 70.94

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Solution

The fourth proportional to 85.06, 128.19 and 70.94 is: 106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.06 : 128.19 = 70.94 : x
  2. Step 2: Convert to fraction form
    85.06/128.19 = 70.94/x
  3. Step 3: Cross multiply
    85.06x = 128.19 × 70.94
  4. Step 4: Simplify right side
    85.06x = 9,093.80
  5. Step 5: Solve for x
    x = 9,093.80/85.06
  6. Step 6: Final answer
    x = 106.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.