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Finding the Fourth Proportional to 95.48, 131.66 and 75.77

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Solution

The fourth proportional to 95.48, 131.66 and 75.77 is: 104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.48 : 131.66 = 75.77 : x
  2. Step 2: Convert to fraction form
    95.48/131.66 = 75.77/x
  3. Step 3: Cross multiply
    95.48x = 131.66 × 75.77
  4. Step 4: Simplify right side
    95.48x = 9,975.62
  5. Step 5: Solve for x
    x = 9,975.62/95.48
  6. Step 6: Final answer
    x = 104.48

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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.