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Finding the Fourth Proportional to 145.99, 201.41 and 90.75

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Solution

The fourth proportional to 145.99, 201.41 and 90.75 is: 125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.99 : 201.41 = 90.75 : x
  2. Step 2: Convert to fraction form
    145.99/201.41 = 90.75/x
  3. Step 3: Cross multiply
    145.99x = 201.41 × 90.75
  4. Step 4: Simplify right side
    145.99x = 18,277.50
  5. Step 5: Solve for x
    x = 18,277.50/145.99
  6. Step 6: Final answer
    x = 125.20

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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.