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Finding the Fourth Proportional to 117.48, 161.94 and 80.64

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Solution

The fourth proportional to 117.48, 161.94 and 80.64 is: 111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.48 : 161.94 = 80.64 : x
  2. Step 2: Convert to fraction form
    117.48/161.94 = 80.64/x
  3. Step 3: Cross multiply
    117.48x = 161.94 × 80.64
  4. Step 4: Simplify right side
    117.48x = 13,058.84
  5. Step 5: Solve for x
    x = 13,058.84/117.48
  6. Step 6: Final answer
    x = 111.16

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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.