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Finding the Fourth Proportional to 157.30, 235.87 and 54.57

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Solution

The fourth proportional to 157.30, 235.87 and 54.57 is: 81.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.30 : 235.87 = 54.57 : x
  2. Step 2: Convert to fraction form
    157.30/235.87 = 54.57/x
  3. Step 3: Cross multiply
    157.30x = 235.87 × 54.57
  4. Step 4: Simplify right side
    157.30x = 12,871.43
  5. Step 5: Solve for x
    x = 12,871.43/157.30
  6. Step 6: Final answer
    x = 81.83

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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.