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Finding the Fourth Proportional to 190.59, 285.84 and 53.64

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Solution

The fourth proportional to 190.59, 285.84 and 53.64 is: 80.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.59 : 285.84 = 53.64 : x
  2. Step 2: Convert to fraction form
    190.59/285.84 = 53.64/x
  3. Step 3: Cross multiply
    190.59x = 285.84 × 53.64
  4. Step 4: Simplify right side
    190.59x = 15,332.46
  5. Step 5: Solve for x
    x = 15,332.46/190.59
  6. Step 6: Final answer
    x = 80.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.