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Finding the Fourth Proportional to 127.41, 175.95 and 102.98

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Solution

The fourth proportional to 127.41, 175.95 and 102.98 is: 142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.41 : 175.95 = 102.98 : x
  2. Step 2: Convert to fraction form
    127.41/175.95 = 102.98/x
  3. Step 3: Cross multiply
    127.41x = 175.95 × 102.98
  4. Step 4: Simplify right side
    127.41x = 18,118.45
  5. Step 5: Solve for x
    x = 18,118.45/127.41
  6. Step 6: Final answer
    x = 142.21

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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.