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Finding the Fourth Proportional to 56.53, 77.97 and 34.67

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Solution

The fourth proportional to 56.53, 77.97 and 34.67 is: 47.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.53 : 77.97 = 34.67 : x
  2. Step 2: Convert to fraction form
    56.53/77.97 = 34.67/x
  3. Step 3: Cross multiply
    56.53x = 77.97 × 34.67
  4. Step 4: Simplify right side
    56.53x = 2,703.22
  5. Step 5: Solve for x
    x = 2,703.22/56.53
  6. Step 6: Final answer
    x = 47.82

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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.