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Finding the Fourth Proportional to 32.68, 48.77 and 28.84

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Solution

The fourth proportional to 32.68, 48.77 and 28.84 is: 43.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.68 : 48.77 = 28.84 : x
  2. Step 2: Convert to fraction form
    32.68/48.77 = 28.84/x
  3. Step 3: Cross multiply
    32.68x = 48.77 × 28.84
  4. Step 4: Simplify right side
    32.68x = 1,406.53
  5. Step 5: Solve for x
    x = 1,406.53/32.68
  6. Step 6: Final answer
    x = 43.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.