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Finding the Fourth Proportional to 100.73, 138.75 and 73.02

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Solution

The fourth proportional to 100.73, 138.75 and 73.02 is: 100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.73 : 138.75 = 73.02 : x
  2. Step 2: Convert to fraction form
    100.73/138.75 = 73.02/x
  3. Step 3: Cross multiply
    100.73x = 138.75 × 73.02
  4. Step 4: Simplify right side
    100.73x = 10,131.53
  5. Step 5: Solve for x
    x = 10,131.53/100.73
  6. Step 6: Final answer
    x = 100.59

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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.