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Finding the Fourth Proportional to 75.65, 113.33 and 48.50

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Solution

The fourth proportional to 75.65, 113.33 and 48.50 is: 72.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.65 : 113.33 = 48.50 : x
  2. Step 2: Convert to fraction form
    75.65/113.33 = 48.50/x
  3. Step 3: Cross multiply
    75.65x = 113.33 × 48.50
  4. Step 4: Simplify right side
    75.65x = 5,496.26
  5. Step 5: Solve for x
    x = 5,496.26/75.65
  6. Step 6: Final answer
    x = 72.65

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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.