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Finding the Fourth Proportional to 96.02, 143.41 and 73.07

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Solution

The fourth proportional to 96.02, 143.41 and 73.07 is: 109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.02 : 143.41 = 73.07 : x
  2. Step 2: Convert to fraction form
    96.02/143.41 = 73.07/x
  3. Step 3: Cross multiply
    96.02x = 143.41 × 73.07
  4. Step 4: Simplify right side
    96.02x = 10,478.97
  5. Step 5: Solve for x
    x = 10,478.97/96.02
  6. Step 6: Final answer
    x = 109.13

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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.