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Finding the Fourth Proportional to 48.46, 72.72 and 18.08

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Solution

The fourth proportional to 48.46, 72.72 and 18.08 is: 27.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.46 : 72.72 = 18.08 : x
  2. Step 2: Convert to fraction form
    48.46/72.72 = 18.08/x
  3. Step 3: Cross multiply
    48.46x = 72.72 × 18.08
  4. Step 4: Simplify right side
    48.46x = 1,314.94
  5. Step 5: Solve for x
    x = 1,314.94/48.46
  6. Step 6: Final answer
    x = 27.14

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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.