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Finding the Fourth Proportional to 157.38, 235.86 and 80.16

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Solution

The fourth proportional to 157.38, 235.86 and 80.16 is: 120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.38 : 235.86 = 80.16 : x
  2. Step 2: Convert to fraction form
    157.38/235.86 = 80.16/x
  3. Step 3: Cross multiply
    157.38x = 235.86 × 80.16
  4. Step 4: Simplify right side
    157.38x = 18,906.54
  5. Step 5: Solve for x
    x = 18,906.54/157.38
  6. Step 6: Final answer
    x = 120.13

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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.