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Finding the Fourth Proportional to 142.10, 195.96 and 105.26

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Solution

The fourth proportional to 142.10, 195.96 and 105.26 is: 145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 195.96 = 105.26 : x
  2. Step 2: Convert to fraction form
    142.10/195.96 = 105.26/x
  3. Step 3: Cross multiply
    142.10x = 195.96 × 105.26
  4. Step 4: Simplify right side
    142.10x = 20,626.75
  5. Step 5: Solve for x
    x = 20,626.75/142.10
  6. Step 6: Final answer
    x = 145.16

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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.