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Finding the Fourth Proportional to 105.63, 158.18 and 96.53

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Solution

The fourth proportional to 105.63, 158.18 and 96.53 is: 144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 158.18 = 96.53 : x
  2. Step 2: Convert to fraction form
    105.63/158.18 = 96.53/x
  3. Step 3: Cross multiply
    105.63x = 158.18 × 96.53
  4. Step 4: Simplify right side
    105.63x = 15,268.57
  5. Step 5: Solve for x
    x = 15,268.57/105.63
  6. Step 6: Final answer
    x = 144.55

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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.