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Finding the Fourth Proportional to 96.69, 145.04 and 31.69

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Solution

The fourth proportional to 96.69, 145.04 and 31.69 is: 47.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.69 : 145.04 = 31.69 : x
  2. Step 2: Convert to fraction form
    96.69/145.04 = 31.69/x
  3. Step 3: Cross multiply
    96.69x = 145.04 × 31.69
  4. Step 4: Simplify right side
    96.69x = 4,596.84
  5. Step 5: Solve for x
    x = 4,596.84/96.69
  6. Step 6: Final answer
    x = 47.54

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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.