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Finding the Fourth Proportional to 134.60, 200.75 and 122.45

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Solution

The fourth proportional to 134.60, 200.75 and 122.45 is: 182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.60 : 200.75 = 122.45 : x
  2. Step 2: Convert to fraction form
    134.60/200.75 = 122.45/x
  3. Step 3: Cross multiply
    134.60x = 200.75 × 122.45
  4. Step 4: Simplify right side
    134.60x = 24,580.22
  5. Step 5: Solve for x
    x = 24,580.22/134.60
  6. Step 6: Final answer
    x = 182.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.