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Finding the Fourth Proportional to 132.69, 198.94 and 70.95

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Solution

The fourth proportional to 132.69, 198.94 and 70.95 is: 106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.69 : 198.94 = 70.95 : x
  2. Step 2: Convert to fraction form
    132.69/198.94 = 70.95/x
  3. Step 3: Cross multiply
    132.69x = 198.94 × 70.95
  4. Step 4: Simplify right side
    132.69x = 14,114.79
  5. Step 5: Solve for x
    x = 14,114.79/132.69
  6. Step 6: Final answer
    x = 106.37

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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.