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Finding the Fourth Proportional to 56.96, 85.41 and 29.93

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Solution

The fourth proportional to 56.96, 85.41 and 29.93 is: 44.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.96 : 85.41 = 29.93 : x
  2. Step 2: Convert to fraction form
    56.96/85.41 = 29.93/x
  3. Step 3: Cross multiply
    56.96x = 85.41 × 29.93
  4. Step 4: Simplify right side
    56.96x = 2,555.89
  5. Step 5: Solve for x
    x = 2,555.89/56.96
  6. Step 6: Final answer
    x = 44.88

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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.