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Finding the Fourth Proportional to 56.63, 78.14 and 30.75

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Solution

The fourth proportional to 56.63, 78.14 and 30.75 is: 42.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.63 : 78.14 = 30.75 : x
  2. Step 2: Convert to fraction form
    56.63/78.14 = 30.75/x
  3. Step 3: Cross multiply
    56.63x = 78.14 × 30.75
  4. Step 4: Simplify right side
    56.63x = 2,402.88
  5. Step 5: Solve for x
    x = 2,402.88/56.63
  6. Step 6: Final answer
    x = 42.44

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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.