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Finding the Fourth Proportional to 71.06, 105.80 and 70.25

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Solution

The fourth proportional to 71.06, 105.80 and 70.25 is: 104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.06 : 105.80 = 70.25 : x
  2. Step 2: Convert to fraction form
    71.06/105.80 = 70.25/x
  3. Step 3: Cross multiply
    71.06x = 105.80 × 70.25
  4. Step 4: Simplify right side
    71.06x = 7,431.57
  5. Step 5: Solve for x
    x = 7,431.57/71.06
  6. Step 6: Final answer
    x = 104.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.