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Finding the Fourth Proportional to 93.62, 129.16 and 54.80

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Solution

The fourth proportional to 93.62, 129.16 and 54.80 is: 75.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.62 : 129.16 = 54.80 : x
  2. Step 2: Convert to fraction form
    93.62/129.16 = 54.80/x
  3. Step 3: Cross multiply
    93.62x = 129.16 × 54.80
  4. Step 4: Simplify right side
    93.62x = 7,077.97
  5. Step 5: Solve for x
    x = 7,077.97/93.62
  6. Step 6: Final answer
    x = 75.60

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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.