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Finding the Fourth Proportional to 146.12, 201.53 and 90.79

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Solution

The fourth proportional to 146.12, 201.53 and 90.79 is: 125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.12 : 201.53 = 90.79 : x
  2. Step 2: Convert to fraction form
    146.12/201.53 = 90.79/x
  3. Step 3: Cross multiply
    146.12x = 201.53 × 90.79
  4. Step 4: Simplify right side
    146.12x = 18,296.63
  5. Step 5: Solve for x
    x = 18,296.63/146.12
  6. Step 6: Final answer
    x = 125.22

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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.