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Finding the Fourth Proportional to 116.70, 161 and 73.06

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Solution

The fourth proportional to 116.70, 161 and 73.06 is: 100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.70 : 161 = 73.06 : x
  2. Step 2: Convert to fraction form
    116.70/161 = 73.06/x
  3. Step 3: Cross multiply
    116.70x = 161 × 73.06
  4. Step 4: Simplify right side
    116.70x = 11,762.66
  5. Step 5: Solve for x
    x = 11,762.66/116.70
  6. Step 6: Final answer
    x = 100.79

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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.