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Finding the Fourth Proportional to 129.55, 194.01 and 105.45

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Solution

The fourth proportional to 129.55, 194.01 and 105.45 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.55 : 194.01 = 105.45 : x
  2. Step 2: Convert to fraction form
    129.55/194.01 = 105.45/x
  3. Step 3: Cross multiply
    129.55x = 194.01 × 105.45
  4. Step 4: Simplify right side
    129.55x = 20,457.38
  5. Step 5: Solve for x
    x = 20,457.38/129.55
  6. Step 6: Final answer
    x = 157.92

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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.