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Finding the Fourth Proportional to 95.65, 131.97 and 56.30

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Solution

The fourth proportional to 95.65, 131.97 and 56.30 is: 77.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.65 : 131.97 = 56.30 : x
  2. Step 2: Convert to fraction form
    95.65/131.97 = 56.30/x
  3. Step 3: Cross multiply
    95.65x = 131.97 × 56.30
  4. Step 4: Simplify right side
    95.65x = 7,429.25
  5. Step 5: Solve for x
    x = 7,429.25/95.65
  6. Step 6: Final answer
    x = 77.68

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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.