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Finding the Fourth Proportional to 145.83, 200.97 and 122.52

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Solution

The fourth proportional to 145.83, 200.97 and 122.52 is: 168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.83 : 200.97 = 122.52 : x
  2. Step 2: Convert to fraction form
    145.83/200.97 = 122.52/x
  3. Step 3: Cross multiply
    145.83x = 200.97 × 122.52
  4. Step 4: Simplify right side
    145.83x = 24,622.84
  5. Step 5: Solve for x
    x = 24,622.84/145.83
  6. Step 6: Final answer
    x = 168.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.