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Finding the Fourth Proportional to 117.67, 162.40 and 80.85

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Solution

The fourth proportional to 117.67, 162.40 and 80.85 is: 111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.67 : 162.40 = 80.85 : x
  2. Step 2: Convert to fraction form
    117.67/162.40 = 80.85/x
  3. Step 3: Cross multiply
    117.67x = 162.40 × 80.85
  4. Step 4: Simplify right side
    117.67x = 13,130.04
  5. Step 5: Solve for x
    x = 13,130.04/117.67
  6. Step 6: Final answer
    x = 111.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.