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Finding the Fourth Proportional to 92.57, 138.75 and 70.82

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Solution

The fourth proportional to 92.57, 138.75 and 70.82 is: 106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.57 : 138.75 = 70.82 : x
  2. Step 2: Convert to fraction form
    92.57/138.75 = 70.82/x
  3. Step 3: Cross multiply
    92.57x = 138.75 × 70.82
  4. Step 4: Simplify right side
    92.57x = 9,826.28
  5. Step 5: Solve for x
    x = 9,826.28/92.57
  6. Step 6: Final answer
    x = 106.15

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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.