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Finding the Fourth Proportional to 48.76, 72.96 and 46.20

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Solution

The fourth proportional to 48.76, 72.96 and 46.20 is: 69.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.76 : 72.96 = 46.20 : x
  2. Step 2: Convert to fraction form
    48.76/72.96 = 46.20/x
  3. Step 3: Cross multiply
    48.76x = 72.96 × 46.20
  4. Step 4: Simplify right side
    48.76x = 3,370.75
  5. Step 5: Solve for x
    x = 3,370.75/48.76
  6. Step 6: Final answer
    x = 69.13

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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.