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Finding the Fourth Proportional to 92.54, 139.33 and 81.77

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Solution

The fourth proportional to 92.54, 139.33 and 81.77 is: 123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.54 : 139.33 = 81.77 : x
  2. Step 2: Convert to fraction form
    92.54/139.33 = 81.77/x
  3. Step 3: Cross multiply
    92.54x = 139.33 × 81.77
  4. Step 4: Simplify right side
    92.54x = 11,393.31
  5. Step 5: Solve for x
    x = 11,393.31/92.54
  6. Step 6: Final answer
    x = 123.11

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