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Finding the Fourth Proportional to 63.86, 96.18 and 56.34

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Solution

The fourth proportional to 63.86, 96.18 and 56.34 is: 84.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.86 : 96.18 = 56.34 : x
  2. Step 2: Convert to fraction form
    63.86/96.18 = 56.34/x
  3. Step 3: Cross multiply
    63.86x = 96.18 × 56.34
  4. Step 4: Simplify right side
    63.86x = 5,418.02
  5. Step 5: Solve for x
    x = 5,418.02/63.86
  6. Step 6: Final answer
    x = 84.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.