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Finding the Fourth Proportional to 95.66, 131.66 and 78.05

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Solution

The fourth proportional to 95.66, 131.66 and 78.05 is: 107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.66 : 131.66 = 78.05 : x
  2. Step 2: Convert to fraction form
    95.66/131.66 = 78.05/x
  3. Step 3: Cross multiply
    95.66x = 131.66 × 78.05
  4. Step 4: Simplify right side
    95.66x = 10,276.06
  5. Step 5: Solve for x
    x = 10,276.06/95.66
  6. Step 6: Final answer
    x = 107.43

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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.