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Finding the Fourth Proportional to 180.69, 271.02 and 65.16

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Solution

The fourth proportional to 180.69, 271.02 and 65.16 is: 97.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.69 : 271.02 = 65.16 : x
  2. Step 2: Convert to fraction form
    180.69/271.02 = 65.16/x
  3. Step 3: Cross multiply
    180.69x = 271.02 × 65.16
  4. Step 4: Simplify right side
    180.69x = 17,659.66
  5. Step 5: Solve for x
    x = 17,659.66/180.69
  6. Step 6: Final answer
    x = 97.73

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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.