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Finding the Fourth Proportional to 48.29, 66.30 and 46.76

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Solution

The fourth proportional to 48.29, 66.30 and 46.76 is: 64.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.29 : 66.30 = 46.76 : x
  2. Step 2: Convert to fraction form
    48.29/66.30 = 46.76/x
  3. Step 3: Cross multiply
    48.29x = 66.30 × 46.76
  4. Step 4: Simplify right side
    48.29x = 3,099.95
  5. Step 5: Solve for x
    x = 3,099.95/48.29
  6. Step 6: Final answer
    x = 64.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.