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Finding the Fourth Proportional to 131.01, 195.60 and 105.23

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Solution

The fourth proportional to 131.01, 195.60 and 105.23 is: 157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.01 : 195.60 = 105.23 : x
  2. Step 2: Convert to fraction form
    131.01/195.60 = 105.23/x
  3. Step 3: Cross multiply
    131.01x = 195.60 × 105.23
  4. Step 4: Simplify right side
    131.01x = 20,582.01
  5. Step 5: Solve for x
    x = 20,582.01/131.01
  6. Step 6: Final answer
    x = 157.10

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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.