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Finding the Fourth Proportional to 145.28, 217.73 and 90.26

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Solution

The fourth proportional to 145.28, 217.73 and 90.26 is: 135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.28 : 217.73 = 90.26 : x
  2. Step 2: Convert to fraction form
    145.28/217.73 = 90.26/x
  3. Step 3: Cross multiply
    145.28x = 217.73 × 90.26
  4. Step 4: Simplify right side
    145.28x = 19,652.31
  5. Step 5: Solve for x
    x = 19,652.31/145.28
  6. Step 6: Final answer
    x = 135.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.