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Finding the Fourth Proportional to 55.80, 76.99 and 32.48

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Solution

The fourth proportional to 55.80, 76.99 and 32.48 is: 44.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.80 : 76.99 = 32.48 : x
  2. Step 2: Convert to fraction form
    55.80/76.99 = 32.48/x
  3. Step 3: Cross multiply
    55.80x = 76.99 × 32.48
  4. Step 4: Simplify right side
    55.80x = 2,500.64
  5. Step 5: Solve for x
    x = 2,500.64/55.80
  6. Step 6: Final answer
    x = 44.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.