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Finding the Fourth Proportional to 145.02, 218.07 and 122.34

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Solution

The fourth proportional to 145.02, 218.07 and 122.34 is: 183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.02 : 218.07 = 122.34 : x
  2. Step 2: Convert to fraction form
    145.02/218.07 = 122.34/x
  3. Step 3: Cross multiply
    145.02x = 218.07 × 122.34
  4. Step 4: Simplify right side
    145.02x = 26,678.68
  5. Step 5: Solve for x
    x = 26,678.68/145.02
  6. Step 6: Final answer
    x = 183.97

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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.