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Finding the Fourth Proportional to 56.76, 85.14 and 24.27

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Solution

The fourth proportional to 56.76, 85.14 and 24.27 is: 36.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.76 : 85.14 = 24.27 : x
  2. Step 2: Convert to fraction form
    56.76/85.14 = 24.27/x
  3. Step 3: Cross multiply
    56.76x = 85.14 × 24.27
  4. Step 4: Simplify right side
    56.76x = 2,066.35
  5. Step 5: Solve for x
    x = 2,066.35/56.76
  6. Step 6: Final answer
    x = 36.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.