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Finding the Fourth Proportional to 96.58, 132.37 and 93.65

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Solution

The fourth proportional to 96.58, 132.37 and 93.65 is: 128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.58 : 132.37 = 93.65 : x
  2. Step 2: Convert to fraction form
    96.58/132.37 = 93.65/x
  3. Step 3: Cross multiply
    96.58x = 132.37 × 93.65
  4. Step 4: Simplify right side
    96.58x = 12,395.93
  5. Step 5: Solve for x
    x = 12,395.93/96.58
  6. Step 6: Final answer
    x = 128.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.