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Finding the Fourth Proportional to 180.75, 271.13 and 78.06

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Solution

The fourth proportional to 180.75, 271.13 and 78.06 is: 117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 271.13 = 78.06 : x
  2. Step 2: Convert to fraction form
    180.75/271.13 = 78.06/x
  3. Step 3: Cross multiply
    180.75x = 271.13 × 78.06
  4. Step 4: Simplify right side
    180.75x = 21,165.47
  5. Step 5: Solve for x
    x = 21,165.47/180.75
  6. Step 6: Final answer
    x = 117.10

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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.