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Finding the Fourth Proportional to 157.92, 236.96 and 66.68

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Solution

The fourth proportional to 157.92, 236.96 and 66.68 is: 100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.92 : 236.96 = 66.68 : x
  2. Step 2: Convert to fraction form
    157.92/236.96 = 66.68/x
  3. Step 3: Cross multiply
    157.92x = 236.96 × 66.68
  4. Step 4: Simplify right side
    157.92x = 15,799.31
  5. Step 5: Solve for x
    x = 15,799.31/157.92
  6. Step 6: Final answer
    x = 100.05

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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.