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Finding the Fourth Proportional to 127.69, 176.29 and 78.63

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Solution

The fourth proportional to 127.69, 176.29 and 78.63 is: 108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.69 : 176.29 = 78.63 : x
  2. Step 2: Convert to fraction form
    127.69/176.29 = 78.63/x
  3. Step 3: Cross multiply
    127.69x = 176.29 × 78.63
  4. Step 4: Simplify right side
    127.69x = 13,862.18
  5. Step 5: Solve for x
    x = 13,862.18/127.69
  6. Step 6: Final answer
    x = 108.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.