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Finding the Fourth Proportional to 116.78, 175.04 and 82.50

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Solution

The fourth proportional to 116.78, 175.04 and 82.50 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 175.04 = 82.50 : x
  2. Step 2: Convert to fraction form
    116.78/175.04 = 82.50/x
  3. Step 3: Cross multiply
    116.78x = 175.04 × 82.50
  4. Step 4: Simplify right side
    116.78x = 14,440.80
  5. Step 5: Solve for x
    x = 14,440.80/116.78
  6. Step 6: Final answer
    x = 123.66

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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.