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Finding the Fourth Proportional to 92.63, 127.77 and 76.25

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Solution

The fourth proportional to 92.63, 127.77 and 76.25 is: 105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.63 : 127.77 = 76.25 : x
  2. Step 2: Convert to fraction form
    92.63/127.77 = 76.25/x
  3. Step 3: Cross multiply
    92.63x = 127.77 × 76.25
  4. Step 4: Simplify right side
    92.63x = 9,742.46
  5. Step 5: Solve for x
    x = 9,742.46/92.63
  6. Step 6: Final answer
    x = 105.18

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Why These Related Problems?

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