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Finding the Fourth Proportional to 116.50, 174.69 and 54.78

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Solution

The fourth proportional to 116.50, 174.69 and 54.78 is: 82.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.50 : 174.69 = 54.78 : x
  2. Step 2: Convert to fraction form
    116.50/174.69 = 54.78/x
  3. Step 3: Cross multiply
    116.50x = 174.69 × 54.78
  4. Step 4: Simplify right side
    116.50x = 9,570.00
  5. Step 5: Solve for x
    x = 9,570.00/116.50
  6. Step 6: Final answer
    x = 82.15

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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.