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Finding the Fourth Proportional to 56.71, 78.24 and 35.99

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Solution

The fourth proportional to 56.71, 78.24 and 35.99 is: 49.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.71 : 78.24 = 35.99 : x
  2. Step 2: Convert to fraction form
    56.71/78.24 = 35.99/x
  3. Step 3: Cross multiply
    56.71x = 78.24 × 35.99
  4. Step 4: Simplify right side
    56.71x = 2,815.86
  5. Step 5: Solve for x
    x = 2,815.86/56.71
  6. Step 6: Final answer
    x = 49.65

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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.