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Finding the Fourth Proportional to 75.38, 113.01 and 57.14

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Solution

The fourth proportional to 75.38, 113.01 and 57.14 is: 85.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 113.01 = 57.14 : x
  2. Step 2: Convert to fraction form
    75.38/113.01 = 57.14/x
  3. Step 3: Cross multiply
    75.38x = 113.01 × 57.14
  4. Step 4: Simplify right side
    75.38x = 6,457.39
  5. Step 5: Solve for x
    x = 6,457.39/75.38
  6. Step 6: Final answer
    x = 85.66

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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.