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Finding the Fourth Proportional to 103.80, 143.46 and 96.24

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Solution

The fourth proportional to 103.80, 143.46 and 96.24 is: 133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.80 : 143.46 = 96.24 : x
  2. Step 2: Convert to fraction form
    103.80/143.46 = 96.24/x
  3. Step 3: Cross multiply
    103.80x = 143.46 × 96.24
  4. Step 4: Simplify right side
    103.80x = 13,806.59
  5. Step 5: Solve for x
    x = 13,806.59/103.80
  6. Step 6: Final answer
    x = 133.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.