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Finding the Fourth Proportional to 435.67, 653.45 and 111.02

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Solution

The fourth proportional to 435.67, 653.45 and 111.02 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.67 : 653.45 = 111.02 : x
  2. Step 2: Convert to fraction form
    435.67/653.45 = 111.02/x
  3. Step 3: Cross multiply
    435.67x = 653.45 × 111.02
  4. Step 4: Simplify right side
    435.67x = 72,542.20
  5. Step 5: Solve for x
    x = 72,542.20/435.67
  6. Step 6: Final answer
    x = 166.51

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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.