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Finding the Fourth Proportional to 75.89, 113.63 and 57.80

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Solution

The fourth proportional to 75.89, 113.63 and 57.80 is: 86.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.89 : 113.63 = 57.80 : x
  2. Step 2: Convert to fraction form
    75.89/113.63 = 57.80/x
  3. Step 3: Cross multiply
    75.89x = 113.63 × 57.80
  4. Step 4: Simplify right side
    75.89x = 6,567.81
  5. Step 5: Solve for x
    x = 6,567.81/75.89
  6. Step 6: Final answer
    x = 86.54

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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.