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Finding the Fourth Proportional to 86.46, 129.71 and 37.75

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Solution

The fourth proportional to 86.46, 129.71 and 37.75 is: 56.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.46 : 129.71 = 37.75 : x
  2. Step 2: Convert to fraction form
    86.46/129.71 = 37.75/x
  3. Step 3: Cross multiply
    86.46x = 129.71 × 37.75
  4. Step 4: Simplify right side
    86.46x = 4,895.72
  5. Step 5: Solve for x
    x = 4,895.72/86.46
  6. Step 6: Final answer
    x = 56.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.