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Finding the Fourth Proportional to 145.08, 217.44 and 72.82

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Solution

The fourth proportional to 145.08, 217.44 and 72.82 is: 109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.08 : 217.44 = 72.82 : x
  2. Step 2: Convert to fraction form
    145.08/217.44 = 72.82/x
  3. Step 3: Cross multiply
    145.08x = 217.44 × 72.82
  4. Step 4: Simplify right side
    145.08x = 15,833.98
  5. Step 5: Solve for x
    x = 15,833.98/145.08
  6. Step 6: Final answer
    x = 109.14

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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.