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Finding the Fourth Proportional to 127.60, 176.18 and 86.22

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Solution

The fourth proportional to 127.60, 176.18 and 86.22 is: 119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.60 : 176.18 = 86.22 : x
  2. Step 2: Convert to fraction form
    127.60/176.18 = 86.22/x
  3. Step 3: Cross multiply
    127.60x = 176.18 × 86.22
  4. Step 4: Simplify right side
    127.60x = 15,189.81
  5. Step 5: Solve for x
    x = 15,189.81/127.60
  6. Step 6: Final answer
    x = 119.04

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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.