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Finding the Fourth Proportional to 116.64, 173.85 and 111.56

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Solution

The fourth proportional to 116.64, 173.85 and 111.56 is: 166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 173.85 = 111.56 : x
  2. Step 2: Convert to fraction form
    116.64/173.85 = 111.56/x
  3. Step 3: Cross multiply
    116.64x = 173.85 × 111.56
  4. Step 4: Simplify right side
    116.64x = 19,394.71
  5. Step 5: Solve for x
    x = 19,394.71/116.64
  6. Step 6: Final answer
    x = 166.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.