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Finding the Fourth Proportional to 116.45, 174.52 and 51.43

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Solution

The fourth proportional to 116.45, 174.52 and 51.43 is: 77.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.45 : 174.52 = 51.43 : x
  2. Step 2: Convert to fraction form
    116.45/174.52 = 51.43/x
  3. Step 3: Cross multiply
    116.45x = 174.52 × 51.43
  4. Step 4: Simplify right side
    116.45x = 8,975.03
  5. Step 5: Solve for x
    x = 8,975.03/116.45
  6. Step 6: Final answer
    x = 77.07

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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.