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Finding the Fourth Proportional to 175.55, 263.36 and 53.84

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Solution

The fourth proportional to 175.55, 263.36 and 53.84 is: 80.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.55 : 263.36 = 53.84 : x
  2. Step 2: Convert to fraction form
    175.55/263.36 = 53.84/x
  3. Step 3: Cross multiply
    175.55x = 263.36 × 53.84
  4. Step 4: Simplify right side
    175.55x = 14,180.31
  5. Step 5: Solve for x
    x = 14,180.31/175.55
  6. Step 6: Final answer
    x = 80.77

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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.