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Finding the Fourth Proportional to 46.20, 63.70 and 39.72

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Solution

The fourth proportional to 46.20, 63.70 and 39.72 is: 54.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.20 : 63.70 = 39.72 : x
  2. Step 2: Convert to fraction form
    46.20/63.70 = 39.72/x
  3. Step 3: Cross multiply
    46.20x = 63.70 × 39.72
  4. Step 4: Simplify right side
    46.20x = 2,530.16
  5. Step 5: Solve for x
    x = 2,530.16/46.20
  6. Step 6: Final answer
    x = 54.77

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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.