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Finding the Fourth Proportional to 100.84, 150.94 and 83.08

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Solution

The fourth proportional to 100.84, 150.94 and 83.08 is: 124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.84 : 150.94 = 83.08 : x
  2. Step 2: Convert to fraction form
    100.84/150.94 = 83.08/x
  3. Step 3: Cross multiply
    100.84x = 150.94 × 83.08
  4. Step 4: Simplify right side
    100.84x = 12,540.10
  5. Step 5: Solve for x
    x = 12,540.10/100.84
  6. Step 6: Final answer
    x = 124.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.