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Finding the Fourth Proportional to 145.34, 217.90 and 54.01

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Solution

The fourth proportional to 145.34, 217.90 and 54.01 is: 80.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.34 : 217.90 = 54.01 : x
  2. Step 2: Convert to fraction form
    145.34/217.90 = 54.01/x
  3. Step 3: Cross multiply
    145.34x = 217.90 × 54.01
  4. Step 4: Simplify right side
    145.34x = 11,768.30
  5. Step 5: Solve for x
    x = 11,768.30/145.34
  6. Step 6: Final answer
    x = 80.97

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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.