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Finding the Fourth Proportional to 157.92, 236.91 and 72.42

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Solution

The fourth proportional to 157.92, 236.91 and 72.42 is: 108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.92 : 236.91 = 72.42 : x
  2. Step 2: Convert to fraction form
    157.92/236.91 = 72.42/x
  3. Step 3: Cross multiply
    157.92x = 236.91 × 72.42
  4. Step 4: Simplify right side
    157.92x = 17,157.02
  5. Step 5: Solve for x
    x = 17,157.02/157.92
  6. Step 6: Final answer
    x = 108.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.