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Finding the Fourth Proportional to 127.40, 175.91 and 99.72

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Solution

The fourth proportional to 127.40, 175.91 and 99.72 is: 137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.40 : 175.91 = 99.72 : x
  2. Step 2: Convert to fraction form
    127.40/175.91 = 99.72/x
  3. Step 3: Cross multiply
    127.40x = 175.91 × 99.72
  4. Step 4: Simplify right side
    127.40x = 17,541.25
  5. Step 5: Solve for x
    x = 17,541.25/127.40
  6. Step 6: Final answer
    x = 137.69

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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.