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Finding the Fourth Proportional to 71.64, 107.82 and 54.60

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Solution

The fourth proportional to 71.64, 107.82 and 54.60 is: 82.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.64 : 107.82 = 54.60 : x
  2. Step 2: Convert to fraction form
    71.64/107.82 = 54.60/x
  3. Step 3: Cross multiply
    71.64x = 107.82 × 54.60
  4. Step 4: Simplify right side
    71.64x = 5,886.97
  5. Step 5: Solve for x
    x = 5,886.97/71.64
  6. Step 6: Final answer
    x = 82.17

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Why These Related Problems?

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