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Finding the Fourth Proportional to 435.86, 653.80 and 111.23

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Solution

The fourth proportional to 435.86, 653.80 and 111.23 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.86 : 653.80 = 111.23 : x
  2. Step 2: Convert to fraction form
    435.86/653.80 = 111.23/x
  3. Step 3: Cross multiply
    435.86x = 653.80 × 111.23
  4. Step 4: Simplify right side
    435.86x = 72,722.17
  5. Step 5: Solve for x
    x = 72,722.17/435.86
  6. Step 6: Final answer
    x = 166.85

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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.