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Finding the Fourth Proportional to 127.99, 176.48 and 84.25

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Solution

The fourth proportional to 127.99, 176.48 and 84.25 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.99 : 176.48 = 84.25 : x
  2. Step 2: Convert to fraction form
    127.99/176.48 = 84.25/x
  3. Step 3: Cross multiply
    127.99x = 176.48 × 84.25
  4. Step 4: Simplify right side
    127.99x = 14,867.77
  5. Step 5: Solve for x
    x = 14,867.77/127.99
  6. Step 6: Final answer
    x = 116.17

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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.