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Finding the Fourth Proportional to 32.08, 48.08 and 21.36

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Solution

The fourth proportional to 32.08, 48.08 and 21.36 is: 32.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.08 : 48.08 = 21.36 : x
  2. Step 2: Convert to fraction form
    32.08/48.08 = 21.36/x
  3. Step 3: Cross multiply
    32.08x = 48.08 × 21.36
  4. Step 4: Simplify right side
    32.08x = 1,026.99
  5. Step 5: Solve for x
    x = 1,026.99/32.08
  6. Step 6: Final answer
    x = 32.01

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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.