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Finding the Fourth Proportional to 32.04, 48.16 and 18.53

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Solution

The fourth proportional to 32.04, 48.16 and 18.53 is: 27.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.04 : 48.16 = 18.53 : x
  2. Step 2: Convert to fraction form
    32.04/48.16 = 18.53/x
  3. Step 3: Cross multiply
    32.04x = 48.16 × 18.53
  4. Step 4: Simplify right side
    32.04x = 892.37
  5. Step 5: Solve for x
    x = 892.37/32.04
  6. Step 6: Final answer
    x = 27.85

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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.