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Finding the Fourth Proportional to 92.53, 127.77 and 59.83

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Solution

The fourth proportional to 92.53, 127.77 and 59.83 is: 82.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.53 : 127.77 = 59.83 : x
  2. Step 2: Convert to fraction form
    92.53/127.77 = 59.83/x
  3. Step 3: Cross multiply
    92.53x = 127.77 × 59.83
  4. Step 4: Simplify right side
    92.53x = 7,644.48
  5. Step 5: Solve for x
    x = 7,644.48/92.53
  6. Step 6: Final answer
    x = 82.62

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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.