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Finding the Fourth Proportional to 106.31, 158.56 and 95.99

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Solution

The fourth proportional to 106.31, 158.56 and 95.99 is: 143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.31 : 158.56 = 95.99 : x
  2. Step 2: Convert to fraction form
    106.31/158.56 = 95.99/x
  3. Step 3: Cross multiply
    106.31x = 158.56 × 95.99
  4. Step 4: Simplify right side
    106.31x = 15,219.14
  5. Step 5: Solve for x
    x = 15,219.14/106.31
  6. Step 6: Final answer
    x = 143.15

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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.