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Finding the Fourth Proportional to 106.16, 146.08 and 95.81

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Solution

The fourth proportional to 106.16, 146.08 and 95.81 is: 131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.16 : 146.08 = 95.81 : x
  2. Step 2: Convert to fraction form
    106.16/146.08 = 95.81/x
  3. Step 3: Cross multiply
    106.16x = 146.08 × 95.81
  4. Step 4: Simplify right side
    106.16x = 13,996.05
  5. Step 5: Solve for x
    x = 13,996.05/106.16
  6. Step 6: Final answer
    x = 131.84

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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.