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Finding the Fourth Proportional to 146.14, 201.76 and 90.90

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Solution

The fourth proportional to 146.14, 201.76 and 90.90 is: 125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.14 : 201.76 = 90.90 : x
  2. Step 2: Convert to fraction form
    146.14/201.76 = 90.90/x
  3. Step 3: Cross multiply
    146.14x = 201.76 × 90.90
  4. Step 4: Simplify right side
    146.14x = 18,339.53
  5. Step 5: Solve for x
    x = 18,339.53/146.14
  6. Step 6: Final answer
    x = 125.50

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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.