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Finding the Fourth Proportional to 180.98, 271.54 and 72.86

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Solution

The fourth proportional to 180.98, 271.54 and 72.86 is: 109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 271.54 = 72.86 : x
  2. Step 2: Convert to fraction form
    180.98/271.54 = 72.86/x
  3. Step 3: Cross multiply
    180.98x = 271.54 × 72.86
  4. Step 4: Simplify right side
    180.98x = 19,784.40
  5. Step 5: Solve for x
    x = 19,784.40/180.98
  6. Step 6: Final answer
    x = 109.32

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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.