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Finding the Fourth Proportional to 95.24, 131.47 and 76.36

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Solution

The fourth proportional to 95.24, 131.47 and 76.36 is: 105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.24 : 131.47 = 76.36 : x
  2. Step 2: Convert to fraction form
    95.24/131.47 = 76.36/x
  3. Step 3: Cross multiply
    95.24x = 131.47 × 76.36
  4. Step 4: Simplify right side
    95.24x = 10,038.39
  5. Step 5: Solve for x
    x = 10,038.39/95.24
  6. Step 6: Final answer
    x = 105.41

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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.