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Finding the Fourth Proportional to 105.51, 158.26 and 71.25

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Solution

The fourth proportional to 105.51, 158.26 and 71.25 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.51 : 158.26 = 71.25 : x
  2. Step 2: Convert to fraction form
    105.51/158.26 = 71.25/x
  3. Step 3: Cross multiply
    105.51x = 158.26 × 71.25
  4. Step 4: Simplify right side
    105.51x = 11,276.03
  5. Step 5: Solve for x
    x = 11,276.03/105.51
  6. Step 6: Final answer
    x = 106.87

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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.