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Finding the Fourth Proportional to 95.71, 131.88 and 73.84

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Solution

The fourth proportional to 95.71, 131.88 and 73.84 is: 101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.71 : 131.88 = 73.84 : x
  2. Step 2: Convert to fraction form
    95.71/131.88 = 73.84/x
  3. Step 3: Cross multiply
    95.71x = 131.88 × 73.84
  4. Step 4: Simplify right side
    95.71x = 9,738.02
  5. Step 5: Solve for x
    x = 9,738.02/95.71
  6. Step 6: Final answer
    x = 101.75

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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.