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Finding the Fourth Proportional to 106.87, 160.30 and 45.94

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Solution

The fourth proportional to 106.87, 160.30 and 45.94 is: 68.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.87 : 160.30 = 45.94 : x
  2. Step 2: Convert to fraction form
    106.87/160.30 = 45.94/x
  3. Step 3: Cross multiply
    106.87x = 160.30 × 45.94
  4. Step 4: Simplify right side
    106.87x = 7,364.72
  5. Step 5: Solve for x
    x = 7,364.72/106.87
  6. Step 6: Final answer
    x = 68.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.