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Finding the Fourth Proportional to 105.75, 157.37 and 105.57

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Solution

The fourth proportional to 105.75, 157.37 and 105.57 is: 157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 157.37 = 105.57 : x
  2. Step 2: Convert to fraction form
    105.75/157.37 = 105.57/x
  3. Step 3: Cross multiply
    105.75x = 157.37 × 105.57
  4. Step 4: Simplify right side
    105.75x = 16,613.02
  5. Step 5: Solve for x
    x = 16,613.02/105.75
  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.