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Finding the Fourth Proportional to 180.77, 271.22 and 78.08

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Solution

The fourth proportional to 180.77, 271.22 and 78.08 is: 117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.77 : 271.22 = 78.08 : x
  2. Step 2: Convert to fraction form
    180.77/271.22 = 78.08/x
  3. Step 3: Cross multiply
    180.77x = 271.22 × 78.08
  4. Step 4: Simplify right side
    180.77x = 21,175.11
  5. Step 5: Solve for x
    x = 21,175.11/180.77
  6. Step 6: Final answer
    x = 117.14

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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.