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Finding the Fourth Proportional to 100.76, 150.22 and 100.52

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Solution

The fourth proportional to 100.76, 150.22 and 100.52 is: 149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.76 : 150.22 = 100.52 : x
  2. Step 2: Convert to fraction form
    100.76/150.22 = 100.52/x
  3. Step 3: Cross multiply
    100.76x = 150.22 × 100.52
  4. Step 4: Simplify right side
    100.76x = 15,100.11
  5. Step 5: Solve for x
    x = 15,100.11/100.76
  6. Step 6: Final answer
    x = 149.86

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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.