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Finding the Fourth Proportional to 107.85, 160.65 and 106.50

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Solution

The fourth proportional to 107.85, 160.65 and 106.50 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.85 : 160.65 = 106.50 : x
  2. Step 2: Convert to fraction form
    107.85/160.65 = 106.50/x
  3. Step 3: Cross multiply
    107.85x = 160.65 × 106.50
  4. Step 4: Simplify right side
    107.85x = 17,109.15
  5. Step 5: Solve for x
    x = 17,109.15/107.85
  6. Step 6: Final answer
    x = 158.64

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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.