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Finding the Fourth Proportional to 48.12, 66.24 and 46.98

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Solution

The fourth proportional to 48.12, 66.24 and 46.98 is: 64.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.12 : 66.24 = 46.98 : x
  2. Step 2: Convert to fraction form
    48.12/66.24 = 46.98/x
  3. Step 3: Cross multiply
    48.12x = 66.24 × 46.98
  4. Step 4: Simplify right side
    48.12x = 3,111.96
  5. Step 5: Solve for x
    x = 3,111.96/48.12
  6. Step 6: Final answer
    x = 64.67

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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.