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Finding the Fourth Proportional to 48.17, 66.52 and 32.64

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Solution

The fourth proportional to 48.17, 66.52 and 32.64 is: 45.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.17 : 66.52 = 32.64 : x
  2. Step 2: Convert to fraction form
    48.17/66.52 = 32.64/x
  3. Step 3: Cross multiply
    48.17x = 66.52 × 32.64
  4. Step 4: Simplify right side
    48.17x = 2,171.21
  5. Step 5: Solve for x
    x = 2,171.21/48.17
  6. Step 6: Final answer
    x = 45.07

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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.