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Finding the Fourth Proportional to 92.76, 139.29 and 52.26

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Solution

The fourth proportional to 92.76, 139.29 and 52.26 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.76 : 139.29 = 52.26 : x
  2. Step 2: Convert to fraction form
    92.76/139.29 = 52.26/x
  3. Step 3: Cross multiply
    92.76x = 139.29 × 52.26
  4. Step 4: Simplify right side
    92.76x = 7,279.30
  5. Step 5: Solve for x
    x = 7,279.30/92.76
  6. Step 6: Final answer
    x = 78.47

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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.