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Finding the Fourth Proportional to 78.82, 108.66 and 66.40

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Solution

The fourth proportional to 78.82, 108.66 and 66.40 is: 91.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.82 : 108.66 = 66.40 : x
  2. Step 2: Convert to fraction form
    78.82/108.66 = 66.40/x
  3. Step 3: Cross multiply
    78.82x = 108.66 × 66.40
  4. Step 4: Simplify right side
    78.82x = 7,215.02
  5. Step 5: Solve for x
    x = 7,215.02/78.82
  6. Step 6: Final answer
    x = 91.54

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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.