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Finding the Fourth Proportional to 75.60, 113.42 and 56.59

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Solution

The fourth proportional to 75.60, 113.42 and 56.59 is: 84.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.60 : 113.42 = 56.59 : x
  2. Step 2: Convert to fraction form
    75.60/113.42 = 56.59/x
  3. Step 3: Cross multiply
    75.60x = 113.42 × 56.59
  4. Step 4: Simplify right side
    75.60x = 6,418.44
  5. Step 5: Solve for x
    x = 6,418.44/75.60
  6. Step 6: Final answer
    x = 84.90

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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.