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Finding the Fourth Proportional to 78.89, 108.81 and 46.13

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Solution

The fourth proportional to 78.89, 108.81 and 46.13 is: 63.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.89 : 108.81 = 46.13 : x
  2. Step 2: Convert to fraction form
    78.89/108.81 = 46.13/x
  3. Step 3: Cross multiply
    78.89x = 108.81 × 46.13
  4. Step 4: Simplify right side
    78.89x = 5,018.86
  5. Step 5: Solve for x
    x = 5,018.86/78.89
  6. Step 6: Final answer
    x = 63.62

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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.