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Finding the Fourth Proportional to 56.59, 78.14 and 40.24

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Solution

The fourth proportional to 56.59, 78.14 and 40.24 is: 55.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.59 : 78.14 = 40.24 : x
  2. Step 2: Convert to fraction form
    56.59/78.14 = 40.24/x
  3. Step 3: Cross multiply
    56.59x = 78.14 × 40.24
  4. Step 4: Simplify right side
    56.59x = 3,143.96
  5. Step 5: Solve for x
    x = 3,143.96/56.59
  6. Step 6: Final answer
    x = 55.56

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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.