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Finding the Fourth Proportional to 100.54, 149.94 and 90.82

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Solution

The fourth proportional to 100.54, 149.94 and 90.82 is: 135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.54 : 149.94 = 90.82 : x
  2. Step 2: Convert to fraction form
    100.54/149.94 = 90.82/x
  3. Step 3: Cross multiply
    100.54x = 149.94 × 90.82
  4. Step 4: Simplify right side
    100.54x = 13,617.18
  5. Step 5: Solve for x
    x = 13,617.18/100.54
  6. Step 6: Final answer
    x = 135.44

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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.