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Finding the Fourth Proportional to 180.71, 271.06 and 83.15

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Solution

The fourth proportional to 180.71, 271.06 and 83.15 is: 124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.71 : 271.06 = 83.15 : x
  2. Step 2: Convert to fraction form
    180.71/271.06 = 83.15/x
  3. Step 3: Cross multiply
    180.71x = 271.06 × 83.15
  4. Step 4: Simplify right side
    180.71x = 22,538.22
  5. Step 5: Solve for x
    x = 22,538.22/180.71
  6. Step 6: Final answer
    x = 124.72

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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.