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Finding the Fourth Proportional to 157.52, 236.31 and 54.82

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Solution

The fourth proportional to 157.52, 236.31 and 54.82 is: 82.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.52 : 236.31 = 54.82 : x
  2. Step 2: Convert to fraction form
    157.52/236.31 = 54.82/x
  3. Step 3: Cross multiply
    157.52x = 236.31 × 54.82
  4. Step 4: Simplify right side
    157.52x = 12,953.92
  5. Step 5: Solve for x
    x = 12,953.92/157.52
  6. Step 6: Final answer
    x = 82.24

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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.