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Finding the Fourth Proportional to 56.27, 77.65 and 34.14

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Solution

The fourth proportional to 56.27, 77.65 and 34.14 is: 47.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.27 : 77.65 = 34.14 : x
  2. Step 2: Convert to fraction form
    56.27/77.65 = 34.14/x
  3. Step 3: Cross multiply
    56.27x = 77.65 × 34.14
  4. Step 4: Simplify right side
    56.27x = 2,650.97
  5. Step 5: Solve for x
    x = 2,650.97/56.27
  6. Step 6: Final answer
    x = 47.11

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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.