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Finding the Fourth Proportional to 117.24, 161.52 and 92.64

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Solution

The fourth proportional to 117.24, 161.52 and 92.64 is: 127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 161.52 = 92.64 : x
  2. Step 2: Convert to fraction form
    117.24/161.52 = 92.64/x
  3. Step 3: Cross multiply
    117.24x = 161.52 × 92.64
  4. Step 4: Simplify right side
    117.24x = 14,963.21
  5. Step 5: Solve for x
    x = 14,963.21/117.24
  6. Step 6: Final answer
    x = 127.63

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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.