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Finding the Fourth Proportional to 81.60, 112.40 and 68.64

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Solution

The fourth proportional to 81.60, 112.40 and 68.64 is: 94.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.60 : 112.40 = 68.64 : x
  2. Step 2: Convert to fraction form
    81.60/112.40 = 68.64/x
  3. Step 3: Cross multiply
    81.60x = 112.40 × 68.64
  4. Step 4: Simplify right side
    81.60x = 7,715.14
  5. Step 5: Solve for x
    x = 7,715.14/81.60
  6. Step 6: Final answer
    x = 94.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.