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Finding the Fourth Proportional to 83.06, 114.65 and 56.81

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Solution

The fourth proportional to 83.06, 114.65 and 56.81 is: 78.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 114.65 = 56.81 : x
  2. Step 2: Convert to fraction form
    83.06/114.65 = 56.81/x
  3. Step 3: Cross multiply
    83.06x = 114.65 × 56.81
  4. Step 4: Simplify right side
    83.06x = 6,512.41
  5. Step 5: Solve for x
    x = 6,512.41/83.06
  6. Step 6: Final answer
    x = 78.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.