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Finding the Fourth Proportional to 180.68, 271.07 and 52.43

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Solution

The fourth proportional to 180.68, 271.07 and 52.43 is: 78.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.68 : 271.07 = 52.43 : x
  2. Step 2: Convert to fraction form
    180.68/271.07 = 52.43/x
  3. Step 3: Cross multiply
    180.68x = 271.07 × 52.43
  4. Step 4: Simplify right side
    180.68x = 14,212.11
  5. Step 5: Solve for x
    x = 14,212.11/180.68
  6. Step 6: Final answer
    x = 78.66

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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.