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Finding the Fourth Proportional to 92.82, 139.17 and 78.51

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Solution

The fourth proportional to 92.82, 139.17 and 78.51 is: 117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.82 : 139.17 = 78.51 : x
  2. Step 2: Convert to fraction form
    92.82/139.17 = 78.51/x
  3. Step 3: Cross multiply
    92.82x = 139.17 × 78.51
  4. Step 4: Simplify right side
    92.82x = 10,926.24
  5. Step 5: Solve for x
    x = 10,926.24/92.82
  6. Step 6: Final answer
    x = 117.71

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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.