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Finding the Fourth Proportional to 75.70, 113.41 and 59.77

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Solution

The fourth proportional to 75.70, 113.41 and 59.77 is: 89.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.70 : 113.41 = 59.77 : x
  2. Step 2: Convert to fraction form
    75.70/113.41 = 59.77/x
  3. Step 3: Cross multiply
    75.70x = 113.41 × 59.77
  4. Step 4: Simplify right side
    75.70x = 6,777.65
  5. Step 5: Solve for x
    x = 6,777.65/75.70
  6. Step 6: Final answer
    x = 89.54

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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.