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Finding the Fourth Proportional to 95.86, 132.26 and 56.50

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Solution

The fourth proportional to 95.86, 132.26 and 56.50 is: 77.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.86 : 132.26 = 56.50 : x
  2. Step 2: Convert to fraction form
    95.86/132.26 = 56.50/x
  3. Step 3: Cross multiply
    95.86x = 132.26 × 56.50
  4. Step 4: Simplify right side
    95.86x = 7,472.69
  5. Step 5: Solve for x
    x = 7,472.69/95.86
  6. Step 6: Final answer
    x = 77.95

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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.