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Finding the Fourth Proportional to 106.09, 158.96 and 48.22

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Solution

The fourth proportional to 106.09, 158.96 and 48.22 is: 72.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.09 : 158.96 = 48.22 : x
  2. Step 2: Convert to fraction form
    106.09/158.96 = 48.22/x
  3. Step 3: Cross multiply
    106.09x = 158.96 × 48.22
  4. Step 4: Simplify right side
    106.09x = 7,664.41
  5. Step 5: Solve for x
    x = 7,664.41/106.09
  6. Step 6: Final answer
    x = 72.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.