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Finding the Fourth Proportional to 175.84, 263.76 and 54.14

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Solution

The fourth proportional to 175.84, 263.76 and 54.14 is: 81.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 263.76 = 54.14 : x
  2. Step 2: Convert to fraction form
    175.84/263.76 = 54.14/x
  3. Step 3: Cross multiply
    175.84x = 263.76 × 54.14
  4. Step 4: Simplify right side
    175.84x = 14,279.97
  5. Step 5: Solve for x
    x = 14,279.97/175.84
  6. Step 6: Final answer
    x = 81.21

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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.