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Finding the Fourth Proportional to 84.77, 127.23 and 36.71

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Solution

The fourth proportional to 84.77, 127.23 and 36.71 is: 55.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.77 : 127.23 = 36.71 : x
  2. Step 2: Convert to fraction form
    84.77/127.23 = 36.71/x
  3. Step 3: Cross multiply
    84.77x = 127.23 × 36.71
  4. Step 4: Simplify right side
    84.77x = 4,670.61
  5. Step 5: Solve for x
    x = 4,670.61/84.77
  6. Step 6: Final answer
    x = 55.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.