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Finding the Fourth Proportional to 157.08, 235.41 and 54.27

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Solution

The fourth proportional to 157.08, 235.41 and 54.27 is: 81.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.08 : 235.41 = 54.27 : x
  2. Step 2: Convert to fraction form
    157.08/235.41 = 54.27/x
  3. Step 3: Cross multiply
    157.08x = 235.41 × 54.27
  4. Step 4: Simplify right side
    157.08x = 12,775.70
  5. Step 5: Solve for x
    x = 12,775.70/157.08
  6. Step 6: Final answer
    x = 81.33

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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.