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Finding the Fourth Proportional to 32.54, 48.77 and 27.05

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Solution

The fourth proportional to 32.54, 48.77 and 27.05 is: 40.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.54 : 48.77 = 27.05 : x
  2. Step 2: Convert to fraction form
    32.54/48.77 = 27.05/x
  3. Step 3: Cross multiply
    32.54x = 48.77 × 27.05
  4. Step 4: Simplify right side
    32.54x = 1,319.32
  5. Step 5: Solve for x
    x = 1,319.32/32.54
  6. Step 6: Final answer
    x = 40.54

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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.