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Finding the Fourth Proportional to 56.56, 78.05 and 31.99

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Solution

The fourth proportional to 56.56, 78.05 and 31.99 is: 44.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.56 : 78.05 = 31.99 : x
  2. Step 2: Convert to fraction form
    56.56/78.05 = 31.99/x
  3. Step 3: Cross multiply
    56.56x = 78.05 × 31.99
  4. Step 4: Simplify right side
    56.56x = 2,497.08
  5. Step 5: Solve for x
    x = 2,497.08/56.56
  6. Step 6: Final answer
    x = 44.15

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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.