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Finding the Fourth Proportional to 190.07, 285.12 and 53.14

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Solution

The fourth proportional to 190.07, 285.12 and 53.14 is: 79.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.07 : 285.12 = 53.14 : x
  2. Step 2: Convert to fraction form
    190.07/285.12 = 53.14/x
  3. Step 3: Cross multiply
    190.07x = 285.12 × 53.14
  4. Step 4: Simplify right side
    190.07x = 15,149.59
  5. Step 5: Solve for x
    x = 15,149.59/190.07
  6. Step 6: Final answer
    x = 79.71

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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.