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Finding the Fourth Proportional to 117.28, 176.64 and 105.36

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Solution

The fourth proportional to 117.28, 176.64 and 105.36 is: 158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 176.64 = 105.36 : x
  2. Step 2: Convert to fraction form
    117.28/176.64 = 105.36/x
  3. Step 3: Cross multiply
    117.28x = 176.64 × 105.36
  4. Step 4: Simplify right side
    117.28x = 18,610.79
  5. Step 5: Solve for x
    x = 18,610.79/117.28
  6. Step 6: Final answer
    x = 158.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.