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Finding the Fourth Proportional to 103.84, 156.48 and 96

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Solution

The fourth proportional to 103.84, 156.48 and 96 is: 144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 156.48 = 96 : x
  2. Step 2: Convert to fraction form
    103.84/156.48 = 96/x
  3. Step 3: Cross multiply
    103.84x = 156.48 × 96
  4. Step 4: Simplify right side
    103.84x = 15,022.08
  5. Step 5: Solve for x
    x = 15,022.08/103.84
  6. Step 6: Final answer
    x = 144.67

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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.