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Finding the Fourth Proportional to 145.11, 217.40 and 104.43

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Solution

The fourth proportional to 145.11, 217.40 and 104.43 is: 156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.11 : 217.40 = 104.43 : x
  2. Step 2: Convert to fraction form
    145.11/217.40 = 104.43/x
  3. Step 3: Cross multiply
    145.11x = 217.40 × 104.43
  4. Step 4: Simplify right side
    145.11x = 22,702.56
  5. Step 5: Solve for x
    x = 22,702.56/145.11
  6. Step 6: Final answer
    x = 156.45

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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.