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Finding the Fourth Proportional to 106.10, 158.25 and 96.38

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Solution

The fourth proportional to 106.10, 158.25 and 96.38 is: 143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.10 : 158.25 = 96.38 : x
  2. Step 2: Convert to fraction form
    106.10/158.25 = 96.38/x
  3. Step 3: Cross multiply
    106.10x = 158.25 × 96.38
  4. Step 4: Simplify right side
    106.10x = 15,252.14
  5. Step 5: Solve for x
    x = 15,252.14/106.10
  6. Step 6: Final answer
    x = 143.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.