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Finding the Fourth Proportional to 53.96, 80.86 and 29.90

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Solution

The fourth proportional to 53.96, 80.86 and 29.90 is: 44.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.96 : 80.86 = 29.90 : x
  2. Step 2: Convert to fraction form
    53.96/80.86 = 29.90/x
  3. Step 3: Cross multiply
    53.96x = 80.86 × 29.90
  4. Step 4: Simplify right side
    53.96x = 2,417.71
  5. Step 5: Solve for x
    x = 2,417.71/53.96
  6. Step 6: Final answer
    x = 44.81

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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.