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Finding the Fourth Proportional to 127.86, 176.36 and 78.76

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Solution

The fourth proportional to 127.86, 176.36 and 78.76 is: 108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 176.36 = 78.76 : x
  2. Step 2: Convert to fraction form
    127.86/176.36 = 78.76/x
  3. Step 3: Cross multiply
    127.86x = 176.36 × 78.76
  4. Step 4: Simplify right side
    127.86x = 13,890.11
  5. Step 5: Solve for x
    x = 13,890.11/127.86
  6. Step 6: Final answer
    x = 108.64

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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.