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Finding the Fourth Proportional to 100.95, 139.23 and 82.50

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Solution

The fourth proportional to 100.95, 139.23 and 82.50 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.95 : 139.23 = 82.50 : x
  2. Step 2: Convert to fraction form
    100.95/139.23 = 82.50/x
  3. Step 3: Cross multiply
    100.95x = 139.23 × 82.50
  4. Step 4: Simplify right side
    100.95x = 11,486.48
  5. Step 5: Solve for x
    x = 11,486.48/100.95
  6. Step 6: Final answer
    x = 113.78

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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.