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Finding the Fourth Proportional to 145.30, 217.70 and 80.34

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Solution

The fourth proportional to 145.30, 217.70 and 80.34 is: 120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.30 : 217.70 = 80.34 : x
  2. Step 2: Convert to fraction form
    145.30/217.70 = 80.34/x
  3. Step 3: Cross multiply
    145.30x = 217.70 × 80.34
  4. Step 4: Simplify right side
    145.30x = 17,489.62
  5. Step 5: Solve for x
    x = 17,489.62/145.30
  6. Step 6: Final answer
    x = 120.37

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Why These Related Problems?

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