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Finding the Fourth Proportional to 56.80, 78.24 and 53.84

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Solution

The fourth proportional to 56.80, 78.24 and 53.84 is: 74.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.80 : 78.24 = 53.84 : x
  2. Step 2: Convert to fraction form
    56.80/78.24 = 53.84/x
  3. Step 3: Cross multiply
    56.80x = 78.24 × 53.84
  4. Step 4: Simplify right side
    56.80x = 4,212.44
  5. Step 5: Solve for x
    x = 4,212.44/56.80
  6. Step 6: Final answer
    x = 74.16

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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.