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Finding the Fourth Proportional to 77.71, 116.48 and 37.10

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Solution

The fourth proportional to 77.71, 116.48 and 37.10 is: 55.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.71 : 116.48 = 37.10 : x
  2. Step 2: Convert to fraction form
    77.71/116.48 = 37.10/x
  3. Step 3: Cross multiply
    77.71x = 116.48 × 37.10
  4. Step 4: Simplify right side
    77.71x = 4,321.22
  5. Step 5: Solve for x
    x = 4,321.22/77.71
  6. Step 6: Final answer
    x = 55.61

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Why These Related Problems?

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