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Finding the Fourth Proportional to 75.69, 113.43 and 65.52

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Solution

The fourth proportional to 75.69, 113.43 and 65.52 is: 98.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.69 : 113.43 = 65.52 : x
  2. Step 2: Convert to fraction form
    75.69/113.43 = 65.52/x
  3. Step 3: Cross multiply
    75.69x = 113.43 × 65.52
  4. Step 4: Simplify right side
    75.69x = 7,431.93
  5. Step 5: Solve for x
    x = 7,431.93/75.69
  6. Step 6: Final answer
    x = 98.19

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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.