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Finding the Fourth Proportional to 431.29, 646.94 and 106.65

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Solution

The fourth proportional to 431.29, 646.94 and 106.65 is: 159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.29 : 646.94 = 106.65 : x
  2. Step 2: Convert to fraction form
    431.29/646.94 = 106.65/x
  3. Step 3: Cross multiply
    431.29x = 646.94 × 106.65
  4. Step 4: Simplify right side
    431.29x = 68,995.82
  5. Step 5: Solve for x
    x = 68,995.82/431.29
  6. Step 6: Final answer
    x = 159.98

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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.