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Finding the Fourth Proportional to 92.63, 127.76 and 76.20

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Solution

The fourth proportional to 92.63, 127.76 and 76.20 is: 105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.63 : 127.76 = 76.20 : x
  2. Step 2: Convert to fraction form
    92.63/127.76 = 76.20/x
  3. Step 3: Cross multiply
    92.63x = 127.76 × 76.20
  4. Step 4: Simplify right side
    92.63x = 9,734.93
  5. Step 5: Solve for x
    x = 9,734.93/92.63
  6. Step 6: Final answer
    x = 105.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.