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Finding the Fourth Proportional to 78.60, 108.41 and 56.78

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Solution

The fourth proportional to 78.60, 108.41 and 56.78 is: 78.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.60 : 108.41 = 56.78 : x
  2. Step 2: Convert to fraction form
    78.60/108.41 = 56.78/x
  3. Step 3: Cross multiply
    78.60x = 108.41 × 56.78
  4. Step 4: Simplify right side
    78.60x = 6,155.24
  5. Step 5: Solve for x
    x = 6,155.24/78.60
  6. Step 6: Final answer
    x = 78.31

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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.