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Finding the Fourth Proportional to 92.57, 127.77 and 63.47

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Solution

The fourth proportional to 92.57, 127.77 and 63.47 is: 87.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.57 : 127.77 = 63.47 : x
  2. Step 2: Convert to fraction form
    92.57/127.77 = 63.47/x
  3. Step 3: Cross multiply
    92.57x = 127.77 × 63.47
  4. Step 4: Simplify right side
    92.57x = 8,109.24
  5. Step 5: Solve for x
    x = 8,109.24/92.57
  6. Step 6: Final answer
    x = 87.60

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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.