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Finding the Fourth Proportional to 95.41, 131.69 and 56.62

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Solution

The fourth proportional to 95.41, 131.69 and 56.62 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.41 : 131.69 = 56.62 : x
  2. Step 2: Convert to fraction form
    95.41/131.69 = 56.62/x
  3. Step 3: Cross multiply
    95.41x = 131.69 × 56.62
  4. Step 4: Simplify right side
    95.41x = 7,456.00
  5. Step 5: Solve for x
    x = 7,456.00/95.41
  6. Step 6: Final answer
    x = 78.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.