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Finding the Fourth Proportional to 82.10, 113.20 and 69.84

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Solution

The fourth proportional to 82.10, 113.20 and 69.84 is: 96.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.10 : 113.20 = 69.84 : x
  2. Step 2: Convert to fraction form
    82.10/113.20 = 69.84/x
  3. Step 3: Cross multiply
    82.10x = 113.20 × 69.84
  4. Step 4: Simplify right side
    82.10x = 7,905.89
  5. Step 5: Solve for x
    x = 7,905.89/82.10
  6. Step 6: Final answer
    x = 96.30

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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.