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Finding the Fourth Proportional to 431.53, 647.28 and 106.90

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Solution

The fourth proportional to 431.53, 647.28 and 106.90 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.53 : 647.28 = 106.90 : x
  2. Step 2: Convert to fraction form
    431.53/647.28 = 106.90/x
  3. Step 3: Cross multiply
    431.53x = 647.28 × 106.90
  4. Step 4: Simplify right side
    431.53x = 69,194.23
  5. Step 5: Solve for x
    x = 69,194.23/431.53
  6. Step 6: Final answer
    x = 160.35

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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.