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Finding the Fourth Proportional to 150.02, 206.80 and 100.81

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Solution

The fourth proportional to 150.02, 206.80 and 100.81 is: 138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.02 : 206.80 = 100.81 : x
  2. Step 2: Convert to fraction form
    150.02/206.80 = 100.81/x
  3. Step 3: Cross multiply
    150.02x = 206.80 × 100.81
  4. Step 4: Simplify right side
    150.02x = 20,847.51
  5. Step 5: Solve for x
    x = 20,847.51/150.02
  6. Step 6: Final answer
    x = 138.96

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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.