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Finding the Fourth Proportional to 92.47, 127.70 and 59.78

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Solution

The fourth proportional to 92.47, 127.70 and 59.78 is: 82.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.47 : 127.70 = 59.78 : x
  2. Step 2: Convert to fraction form
    92.47/127.70 = 59.78/x
  3. Step 3: Cross multiply
    92.47x = 127.70 × 59.78
  4. Step 4: Simplify right side
    92.47x = 7,633.93
  5. Step 5: Solve for x
    x = 7,633.93/92.47
  6. Step 6: Final answer
    x = 82.55

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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.