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Finding the Fourth Proportional to 180.79, 271.22 and 78.03

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Solution

The fourth proportional to 180.79, 271.22 and 78.03 is: 117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.79 : 271.22 = 78.03 : x
  2. Step 2: Convert to fraction form
    180.79/271.22 = 78.03/x
  3. Step 3: Cross multiply
    180.79x = 271.22 × 78.03
  4. Step 4: Simplify right side
    180.79x = 21,162.91
  5. Step 5: Solve for x
    x = 21,162.91/180.79
  6. Step 6: Final answer
    x = 117.06

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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.