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Finding the Fourth Proportional to 53.06, 79.61 and 29.03

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Solution

The fourth proportional to 53.06, 79.61 and 29.03 is: 43.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 79.61 = 29.03 : x
  2. Step 2: Convert to fraction form
    53.06/79.61 = 29.03/x
  3. Step 3: Cross multiply
    53.06x = 79.61 × 29.03
  4. Step 4: Simplify right side
    53.06x = 2,310.54
  5. Step 5: Solve for x
    x = 2,310.54/53.06
  6. Step 6: Final answer
    x = 43.55

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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.