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Finding the Fourth Proportional to 104.84, 156.98 and 82.06

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Solution

The fourth proportional to 104.84, 156.98 and 82.06 is: 122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.84 : 156.98 = 82.06 : x
  2. Step 2: Convert to fraction form
    104.84/156.98 = 82.06/x
  3. Step 3: Cross multiply
    104.84x = 156.98 × 82.06
  4. Step 4: Simplify right side
    104.84x = 12,880.58
  5. Step 5: Solve for x
    x = 12,880.58/104.84
  6. Step 6: Final answer
    x = 122.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.