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Finding the Fourth Proportional to 77.66, 116.99 and 63.58

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Solution

The fourth proportional to 77.66, 116.99 and 63.58 is: 95.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.66 : 116.99 = 63.58 : x
  2. Step 2: Convert to fraction form
    77.66/116.99 = 63.58/x
  3. Step 3: Cross multiply
    77.66x = 116.99 × 63.58
  4. Step 4: Simplify right side
    77.66x = 7,437.91
  5. Step 5: Solve for x
    x = 7,437.91/77.66
  6. Step 6: Final answer
    x = 95.78

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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.