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Finding the Fourth Proportional to 102.99, 154.68 and 82.83

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Solution

The fourth proportional to 102.99, 154.68 and 82.83 is: 124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.99 : 154.68 = 82.83 : x
  2. Step 2: Convert to fraction form
    102.99/154.68 = 82.83/x
  3. Step 3: Cross multiply
    102.99x = 154.68 × 82.83
  4. Step 4: Simplify right side
    102.99x = 12,812.14
  5. Step 5: Solve for x
    x = 12,812.14/102.99
  6. Step 6: Final answer
    x = 124.40

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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.