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Finding the Fourth Proportional to 100.80, 150.40 and 84.80

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Solution

The fourth proportional to 100.80, 150.40 and 84.80 is: 126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.80 : 150.40 = 84.80 : x
  2. Step 2: Convert to fraction form
    100.80/150.40 = 84.80/x
  3. Step 3: Cross multiply
    100.80x = 150.40 × 84.80
  4. Step 4: Simplify right side
    100.80x = 12,753.92
  5. Step 5: Solve for x
    x = 12,753.92/100.80
  6. Step 6: Final answer
    x = 126.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.