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Finding the Fourth Proportional to 117.76, 161.60 and 108.16

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Solution

The fourth proportional to 117.76, 161.60 and 108.16 is: 148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.76 : 161.60 = 108.16 : x
  2. Step 2: Convert to fraction form
    117.76/161.60 = 108.16/x
  3. Step 3: Cross multiply
    117.76x = 161.60 × 108.16
  4. Step 4: Simplify right side
    117.76x = 17,478.66
  5. Step 5: Solve for x
    x = 17,478.66/117.76
  6. Step 6: Final answer
    x = 148.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.