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Finding the Fourth Proportional to 127.21, 175.57 and 87.86

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Solution

The fourth proportional to 127.21, 175.57 and 87.86 is: 121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.21 : 175.57 = 87.86 : x
  2. Step 2: Convert to fraction form
    127.21/175.57 = 87.86/x
  3. Step 3: Cross multiply
    127.21x = 175.57 × 87.86
  4. Step 4: Simplify right side
    127.21x = 15,425.58
  5. Step 5: Solve for x
    x = 15,425.58/127.21
  6. Step 6: Final answer
    x = 121.26

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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.