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Finding the Fourth Proportional to 95.68, 132.16 and 88.64

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Solution

The fourth proportional to 95.68, 132.16 and 88.64 is: 122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.68 : 132.16 = 88.64 : x
  2. Step 2: Convert to fraction form
    95.68/132.16 = 88.64/x
  3. Step 3: Cross multiply
    95.68x = 132.16 × 88.64
  4. Step 4: Simplify right side
    95.68x = 11,714.66
  5. Step 5: Solve for x
    x = 11,714.66/95.68
  6. Step 6: Final answer
    x = 122.44

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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.