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Finding the Fourth Proportional to 116.21, 175.35 and 111.22

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Solution

The fourth proportional to 116.21, 175.35 and 111.22 is: 167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.21 : 175.35 = 111.22 : x
  2. Step 2: Convert to fraction form
    116.21/175.35 = 111.22/x
  3. Step 3: Cross multiply
    116.21x = 175.35 × 111.22
  4. Step 4: Simplify right side
    116.21x = 19,502.43
  5. Step 5: Solve for x
    x = 19,502.43/116.21
  6. Step 6: Final answer
    x = 167.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.