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Finding the Fourth Proportional to 127.60, 176.13 and 103.07

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Solution

The fourth proportional to 127.60, 176.13 and 103.07 is: 142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.60 : 176.13 = 103.07 : x
  2. Step 2: Convert to fraction form
    127.60/176.13 = 103.07/x
  3. Step 3: Cross multiply
    127.60x = 176.13 × 103.07
  4. Step 4: Simplify right side
    127.60x = 18,153.72
  5. Step 5: Solve for x
    x = 18,153.72/127.60
  6. Step 6: Final answer
    x = 142.27

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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.