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Finding the Fourth Proportional to 107.60, 160.56 and 105.20

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Solution

The fourth proportional to 107.60, 160.56 and 105.20 is: 156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.60 : 160.56 = 105.20 : x
  2. Step 2: Convert to fraction form
    107.60/160.56 = 105.20/x
  3. Step 3: Cross multiply
    107.60x = 160.56 × 105.20
  4. Step 4: Simplify right side
    107.60x = 16,890.91
  5. Step 5: Solve for x
    x = 16,890.91/107.60
  6. Step 6: Final answer
    x = 156.98

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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.