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Finding the Fourth Proportional to 107.05, 159.54 and 106.15

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Solution

The fourth proportional to 107.05, 159.54 and 106.15 is: 158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.05 : 159.54 = 106.15 : x
  2. Step 2: Convert to fraction form
    107.05/159.54 = 106.15/x
  3. Step 3: Cross multiply
    107.05x = 159.54 × 106.15
  4. Step 4: Simplify right side
    107.05x = 16,935.11
  5. Step 5: Solve for x
    x = 16,935.11/107.05
  6. Step 6: Final answer
    x = 158.21

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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.