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Finding the Fourth Proportional to 100.45, 138.49 and 79.80

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Solution

The fourth proportional to 100.45, 138.49 and 79.80 is: 110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.45 : 138.49 = 79.80 : x
  2. Step 2: Convert to fraction form
    100.45/138.49 = 79.80/x
  3. Step 3: Cross multiply
    100.45x = 138.49 × 79.80
  4. Step 4: Simplify right side
    100.45x = 11,050.41
  5. Step 5: Solve for x
    x = 11,050.41/100.45
  6. Step 6: Final answer
    x = 110.01

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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.