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Finding the Fourth Proportional to 103.93, 154.56 and 96.19

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Solution

The fourth proportional to 103.93, 154.56 and 96.19 is: 143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.93 : 154.56 = 96.19 : x
  2. Step 2: Convert to fraction form
    103.93/154.56 = 96.19/x
  3. Step 3: Cross multiply
    103.93x = 154.56 × 96.19
  4. Step 4: Simplify right side
    103.93x = 14,866.56
  5. Step 5: Solve for x
    x = 14,866.56/103.93
  6. Step 6: Final answer
    x = 143.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.