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Finding the Fourth Proportional to 56.24, 77.64 and 41.76

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Solution

The fourth proportional to 56.24, 77.64 and 41.76 is: 57.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.24 : 77.64 = 41.76 : x
  2. Step 2: Convert to fraction form
    56.24/77.64 = 41.76/x
  3. Step 3: Cross multiply
    56.24x = 77.64 × 41.76
  4. Step 4: Simplify right side
    56.24x = 3,242.25
  5. Step 5: Solve for x
    x = 3,242.25/56.24
  6. Step 6: Final answer
    x = 57.65

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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.