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Finding the Fourth Proportional to 77.83, 116.76 and 32.19

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Solution

The fourth proportional to 77.83, 116.76 and 32.19 is: 48.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.83 : 116.76 = 32.19 : x
  2. Step 2: Convert to fraction form
    77.83/116.76 = 32.19/x
  3. Step 3: Cross multiply
    77.83x = 116.76 × 32.19
  4. Step 4: Simplify right side
    77.83x = 3,758.50
  5. Step 5: Solve for x
    x = 3,758.50/77.83
  6. Step 6: Final answer
    x = 48.29

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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.