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Finding the Fourth Proportional to 109.91, 152.45 and 106.94

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Solution

The fourth proportional to 109.91, 152.45 and 106.94 is: 148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.91 : 152.45 = 106.94 : x
  2. Step 2: Convert to fraction form
    109.91/152.45 = 106.94/x
  3. Step 3: Cross multiply
    109.91x = 152.45 × 106.94
  4. Step 4: Simplify right side
    109.91x = 16,303.00
  5. Step 5: Solve for x
    x = 16,303.00/109.91
  6. Step 6: Final answer
    x = 148.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.