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Finding the Fourth Proportional to 82.44, 113.22 and 70.20

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Solution

The fourth proportional to 82.44, 113.22 and 70.20 is: 96.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 113.22 = 70.20 : x
  2. Step 2: Convert to fraction form
    82.44/113.22 = 70.20/x
  3. Step 3: Cross multiply
    82.44x = 113.22 × 70.20
  4. Step 4: Simplify right side
    82.44x = 7,948.04
  5. Step 5: Solve for x
    x = 7,948.04/82.44
  6. Step 6: Final answer
    x = 96.41

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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.