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Finding the Fourth Proportional to 431.14, 646.73 and 106.51

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Solution

The fourth proportional to 431.14, 646.73 and 106.51 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.14 : 646.73 = 106.51 : x
  2. Step 2: Convert to fraction form
    431.14/646.73 = 106.51/x
  3. Step 3: Cross multiply
    431.14x = 646.73 × 106.51
  4. Step 4: Simplify right side
    431.14x = 68,883.21
  5. Step 5: Solve for x
    x = 68,883.21/431.14
  6. Step 6: Final answer
    x = 159.77

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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.