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Finding the Fourth Proportional to 52.72, 79.05 and 29.92

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Solution

The fourth proportional to 52.72, 79.05 and 29.92 is: 44.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.72 : 79.05 = 29.92 : x
  2. Step 2: Convert to fraction form
    52.72/79.05 = 29.92/x
  3. Step 3: Cross multiply
    52.72x = 79.05 × 29.92
  4. Step 4: Simplify right side
    52.72x = 2,365.18
  5. Step 5: Solve for x
    x = 2,365.18/52.72
  6. Step 6: Final answer
    x = 44.86

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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.