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Finding the Fourth Proportional to 100.17, 138.15 and 73.96

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Solution

The fourth proportional to 100.17, 138.15 and 73.96 is: 102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.17 : 138.15 = 73.96 : x
  2. Step 2: Convert to fraction form
    100.17/138.15 = 73.96/x
  3. Step 3: Cross multiply
    100.17x = 138.15 × 73.96
  4. Step 4: Simplify right side
    100.17x = 10,217.23
  5. Step 5: Solve for x
    x = 10,217.23/100.17
  6. Step 6: Final answer
    x = 102.00

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