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Finding the Fourth Proportional to 95.40, 131.76 and 76.23

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Solution

The fourth proportional to 95.40, 131.76 and 76.23 is: 105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.40 : 131.76 = 76.23 : x
  2. Step 2: Convert to fraction form
    95.40/131.76 = 76.23/x
  3. Step 3: Cross multiply
    95.40x = 131.76 × 76.23
  4. Step 4: Simplify right side
    95.40x = 10,044.06
  5. Step 5: Solve for x
    x = 10,044.06/95.40
  6. Step 6: Final answer
    x = 105.28

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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.