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Finding the Fourth Proportional to 77.81, 116.70 and 47.39

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Solution

The fourth proportional to 77.81, 116.70 and 47.39 is: 71.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.81 : 116.70 = 47.39 : x
  2. Step 2: Convert to fraction form
    77.81/116.70 = 47.39/x
  3. Step 3: Cross multiply
    77.81x = 116.70 × 47.39
  4. Step 4: Simplify right side
    77.81x = 5,530.41
  5. Step 5: Solve for x
    x = 5,530.41/77.81
  6. Step 6: Final answer
    x = 71.08

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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.