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Finding the Fourth Proportional to 116.06, 174 and 72.68

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Solution

The fourth proportional to 116.06, 174 and 72.68 is: 108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.06 : 174 = 72.68 : x
  2. Step 2: Convert to fraction form
    116.06/174 = 72.68/x
  3. Step 3: Cross multiply
    116.06x = 174 × 72.68
  4. Step 4: Simplify right side
    116.06x = 12,646.32
  5. Step 5: Solve for x
    x = 12,646.32/116.06
  6. Step 6: Final answer
    x = 108.96

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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.