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Finding the Fourth Proportional to 96.38, 145.09 and 88.01

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Solution

The fourth proportional to 96.38, 145.09 and 88.01 is: 132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.38 : 145.09 = 88.01 : x
  2. Step 2: Convert to fraction form
    96.38/145.09 = 88.01/x
  3. Step 3: Cross multiply
    96.38x = 145.09 × 88.01
  4. Step 4: Simplify right side
    96.38x = 12,769.37
  5. Step 5: Solve for x
    x = 12,769.37/96.38
  6. Step 6: Final answer
    x = 132.49

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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.