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Finding the Fourth Proportional to 145.14, 217.94 and 122.46

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Solution

The fourth proportional to 145.14, 217.94 and 122.46 is: 183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 217.94 = 122.46 : x
  2. Step 2: Convert to fraction form
    145.14/217.94 = 122.46/x
  3. Step 3: Cross multiply
    145.14x = 217.94 × 122.46
  4. Step 4: Simplify right side
    145.14x = 26,688.19
  5. Step 5: Solve for x
    x = 26,688.19/145.14
  6. Step 6: Final answer
    x = 183.88

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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.