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Finding the Fourth Proportional to 105.68, 156.31 and 105.68

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Solution

The fourth proportional to 105.68, 156.31 and 105.68 is: 156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.68 : 156.31 = 105.68 : x
  2. Step 2: Convert to fraction form
    105.68/156.31 = 105.68/x
  3. Step 3: Cross multiply
    105.68x = 156.31 × 105.68
  4. Step 4: Simplify right side
    105.68x = 16,518.97
  5. Step 5: Solve for x
    x = 16,518.97/105.68
  6. Step 6: Final answer
    x = 156.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.