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Finding the Fourth Proportional to 92.53, 127.64 and 59.78

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Solution

The fourth proportional to 92.53, 127.64 and 59.78 is: 82.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.53 : 127.64 = 59.78 : x
  2. Step 2: Convert to fraction form
    92.53/127.64 = 59.78/x
  3. Step 3: Cross multiply
    92.53x = 127.64 × 59.78
  4. Step 4: Simplify right side
    92.53x = 7,629.86
  5. Step 5: Solve for x
    x = 7,629.86/92.53
  6. Step 6: Final answer
    x = 82.46

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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.