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Finding the Fourth Proportional to 107.04, 159.21 and 106.70

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Solution

The fourth proportional to 107.04, 159.21 and 106.70 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.04 : 159.21 = 106.70 : x
  2. Step 2: Convert to fraction form
    107.04/159.21 = 106.70/x
  3. Step 3: Cross multiply
    107.04x = 159.21 × 106.70
  4. Step 4: Simplify right side
    107.04x = 16,986.91
  5. Step 5: Solve for x
    x = 16,986.91/107.04
  6. Step 6: Final answer
    x = 158.70

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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.