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Finding the Fourth Proportional to 145.91, 201.50 and 90.67

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Solution

The fourth proportional to 145.91, 201.50 and 90.67 is: 125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.91 : 201.50 = 90.67 : x
  2. Step 2: Convert to fraction form
    145.91/201.50 = 90.67/x
  3. Step 3: Cross multiply
    145.91x = 201.50 × 90.67
  4. Step 4: Simplify right side
    145.91x = 18,269.05
  5. Step 5: Solve for x
    x = 18,269.05/145.91
  6. Step 6: Final answer
    x = 125.21

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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.