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Finding the Fourth Proportional to 95.63, 132.03 and 69.80

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Solution

The fourth proportional to 95.63, 132.03 and 69.80 is: 96.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.63 : 132.03 = 69.80 : x
  2. Step 2: Convert to fraction form
    95.63/132.03 = 69.80/x
  3. Step 3: Cross multiply
    95.63x = 132.03 × 69.80
  4. Step 4: Simplify right side
    95.63x = 9,215.03
  5. Step 5: Solve for x
    x = 9,215.03/95.63
  6. Step 6: Final answer
    x = 96.37

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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.