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Finding the Fourth Proportional to 77.37, 116.08 and 55.43

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Solution

The fourth proportional to 77.37, 116.08 and 55.43 is: 83.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.37 : 116.08 = 55.43 : x
  2. Step 2: Convert to fraction form
    77.37/116.08 = 55.43/x
  3. Step 3: Cross multiply
    77.37x = 116.08 × 55.43
  4. Step 4: Simplify right side
    77.37x = 6,434.19
  5. Step 5: Solve for x
    x = 6,434.19/77.37
  6. Step 6: Final answer
    x = 83.16

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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.