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Finding the Fourth Proportional to 105.53, 159.08 and 103.95

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Solution

The fourth proportional to 105.53, 159.08 and 103.95 is: 156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.53 : 159.08 = 103.95 : x
  2. Step 2: Convert to fraction form
    105.53/159.08 = 103.95/x
  3. Step 3: Cross multiply
    105.53x = 159.08 × 103.95
  4. Step 4: Simplify right side
    105.53x = 16,536.76
  5. Step 5: Solve for x
    x = 16,536.76/105.53
  6. Step 6: Final answer
    x = 156.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.