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Finding the Fourth Proportional to 127.32, 175.80 and 99.68

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Solution

The fourth proportional to 127.32, 175.80 and 99.68 is: 137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.32 : 175.80 = 99.68 : x
  2. Step 2: Convert to fraction form
    127.32/175.80 = 99.68/x
  3. Step 3: Cross multiply
    127.32x = 175.80 × 99.68
  4. Step 4: Simplify right side
    127.32x = 17,522.87
  5. Step 5: Solve for x
    x = 17,522.87/127.32
  6. Step 6: Final answer
    x = 137.63

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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.