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Finding the Fourth Proportional to 105.63, 157.59 and 95.37

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Solution

The fourth proportional to 105.63, 157.59 and 95.37 is: 142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 157.59 = 95.37 : x
  2. Step 2: Convert to fraction form
    105.63/157.59 = 95.37/x
  3. Step 3: Cross multiply
    105.63x = 157.59 × 95.37
  4. Step 4: Simplify right side
    105.63x = 15,029.36
  5. Step 5: Solve for x
    x = 15,029.36/105.63
  6. Step 6: Final answer
    x = 142.28

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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.