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Finding the Fourth Proportional to 92.66, 127.83 and 55.80

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Solution

The fourth proportional to 92.66, 127.83 and 55.80 is: 76.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.66 : 127.83 = 55.80 : x
  2. Step 2: Convert to fraction form
    92.66/127.83 = 55.80/x
  3. Step 3: Cross multiply
    92.66x = 127.83 × 55.80
  4. Step 4: Simplify right side
    92.66x = 7,132.91
  5. Step 5: Solve for x
    x = 7,132.91/92.66
  6. Step 6: Final answer
    x = 76.98

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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.