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Finding the Fourth Proportional to 100.16, 137.92 and 98.03

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Solution

The fourth proportional to 100.16, 137.92 and 98.03 is: 134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.16 : 137.92 = 98.03 : x
  2. Step 2: Convert to fraction form
    100.16/137.92 = 98.03/x
  3. Step 3: Cross multiply
    100.16x = 137.92 × 98.03
  4. Step 4: Simplify right side
    100.16x = 13,520.30
  5. Step 5: Solve for x
    x = 13,520.30/100.16
  6. Step 6: Final answer
    x = 134.99

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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.