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Finding the Fourth Proportional to 189.55, 284.34 and 52.61

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Solution

The fourth proportional to 189.55, 284.34 and 52.61 is: 78.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.55 : 284.34 = 52.61 : x
  2. Step 2: Convert to fraction form
    189.55/284.34 = 52.61/x
  3. Step 3: Cross multiply
    189.55x = 284.34 × 52.61
  4. Step 4: Simplify right side
    189.55x = 14,957.44
  5. Step 5: Solve for x
    x = 14,957.44/189.55
  6. Step 6: Final answer
    x = 78.91

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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.