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Finding the Fourth Proportional to 103.71, 154.59 and 96.42

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Solution

The fourth proportional to 103.71, 154.59 and 96.42 is: 143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.71 : 154.59 = 96.42 : x
  2. Step 2: Convert to fraction form
    103.71/154.59 = 96.42/x
  3. Step 3: Cross multiply
    103.71x = 154.59 × 96.42
  4. Step 4: Simplify right side
    103.71x = 14,905.57
  5. Step 5: Solve for x
    x = 14,905.57/103.71
  6. Step 6: Final answer
    x = 143.72

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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.