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Finding the Fourth Proportional to 106.28, 145.81 and 101.12

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Solution

The fourth proportional to 106.28, 145.81 and 101.12 is: 138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.28 : 145.81 = 101.12 : x
  2. Step 2: Convert to fraction form
    106.28/145.81 = 101.12/x
  3. Step 3: Cross multiply
    106.28x = 145.81 × 101.12
  4. Step 4: Simplify right side
    106.28x = 14,743.14
  5. Step 5: Solve for x
    x = 14,743.14/106.28
  6. Step 6: Final answer
    x = 138.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.