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Finding the Fourth Proportional to 84.74, 127.15 and 65.45

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Solution

The fourth proportional to 84.74, 127.15 and 65.45 is: 98.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.74 : 127.15 = 65.45 : x
  2. Step 2: Convert to fraction form
    84.74/127.15 = 65.45/x
  3. Step 3: Cross multiply
    84.74x = 127.15 × 65.45
  4. Step 4: Simplify right side
    84.74x = 8,321.97
  5. Step 5: Solve for x
    x = 8,321.97/84.74
  6. Step 6: Final answer
    x = 98.21

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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.