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Finding the Fourth Proportional to 96.68, 143.91 and 95.64

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Solution

The fourth proportional to 96.68, 143.91 and 95.64 is: 142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.68 : 143.91 = 95.64 : x
  2. Step 2: Convert to fraction form
    96.68/143.91 = 95.64/x
  3. Step 3: Cross multiply
    96.68x = 143.91 × 95.64
  4. Step 4: Simplify right side
    96.68x = 13,763.55
  5. Step 5: Solve for x
    x = 13,763.55/96.68
  6. Step 6: Final answer
    x = 142.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.