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Finding the Fourth Proportional to 127.84, 191.72 and 62.80

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Solution

The fourth proportional to 127.84, 191.72 and 62.80 is: 94.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.84 : 191.72 = 62.80 : x
  2. Step 2: Convert to fraction form
    127.84/191.72 = 62.80/x
  3. Step 3: Cross multiply
    127.84x = 191.72 × 62.80
  4. Step 4: Simplify right side
    127.84x = 12,040.02
  5. Step 5: Solve for x
    x = 12,040.02/127.84
  6. Step 6: Final answer
    x = 94.18

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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.