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Finding the Fourth Proportional to 127.86, 191.84 and 46.75

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Solution

The fourth proportional to 127.86, 191.84 and 46.75 is: 70.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 191.84 = 46.75 : x
  2. Step 2: Convert to fraction form
    127.86/191.84 = 46.75/x
  3. Step 3: Cross multiply
    127.86x = 191.84 × 46.75
  4. Step 4: Simplify right side
    127.86x = 8,968.52
  5. Step 5: Solve for x
    x = 8,968.52/127.86
  6. Step 6: Final answer
    x = 70.14

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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.