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Finding the Fourth Proportional to 436.06, 654.06 and 111.41

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Solution

The fourth proportional to 436.06, 654.06 and 111.41 is: 167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.06 : 654.06 = 111.41 : x
  2. Step 2: Convert to fraction form
    436.06/654.06 = 111.41/x
  3. Step 3: Cross multiply
    436.06x = 654.06 × 111.41
  4. Step 4: Simplify right side
    436.06x = 72,868.82
  5. Step 5: Solve for x
    x = 72,868.82/436.06
  6. Step 6: Final answer
    x = 167.11

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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.