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Finding the Fourth Proportional to 92.22, 139.03 and 91.63

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Solution

The fourth proportional to 92.22, 139.03 and 91.63 is: 138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.22 : 139.03 = 91.63 : x
  2. Step 2: Convert to fraction form
    92.22/139.03 = 91.63/x
  3. Step 3: Cross multiply
    92.22x = 139.03 × 91.63
  4. Step 4: Simplify right side
    92.22x = 12,739.32
  5. Step 5: Solve for x
    x = 12,739.32/92.22
  6. Step 6: Final answer
    x = 138.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.