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Finding the Fourth Proportional to 75.45, 113.02 and 57.36

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Solution

The fourth proportional to 75.45, 113.02 and 57.36 is: 85.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.45 : 113.02 = 57.36 : x
  2. Step 2: Convert to fraction form
    75.45/113.02 = 57.36/x
  3. Step 3: Cross multiply
    75.45x = 113.02 × 57.36
  4. Step 4: Simplify right side
    75.45x = 6,482.83
  5. Step 5: Solve for x
    x = 6,482.83/75.45
  6. Step 6: Final answer
    x = 85.92

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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.