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Finding the Fourth Proportional to 56.12, 77.24 and 49.23

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Solution

The fourth proportional to 56.12, 77.24 and 49.23 is: 67.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.12 : 77.24 = 49.23 : x
  2. Step 2: Convert to fraction form
    56.12/77.24 = 49.23/x
  3. Step 3: Cross multiply
    56.12x = 77.24 × 49.23
  4. Step 4: Simplify right side
    56.12x = 3,802.53
  5. Step 5: Solve for x
    x = 3,802.53/56.12
  6. Step 6: Final answer
    x = 67.76

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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.