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Finding the Fourth Proportional to 56.43, 77.78 and 42.59

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Solution

The fourth proportional to 56.43, 77.78 and 42.59 is: 58.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.43 : 77.78 = 42.59 : x
  2. Step 2: Convert to fraction form
    56.43/77.78 = 42.59/x
  3. Step 3: Cross multiply
    56.43x = 77.78 × 42.59
  4. Step 4: Simplify right side
    56.43x = 3,312.05
  5. Step 5: Solve for x
    x = 3,312.05/56.43
  6. Step 6: Final answer
    x = 58.69

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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.