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Finding the Fourth Proportional to 52.96, 78.34 and 52.96

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Solution

The fourth proportional to 52.96, 78.34 and 52.96 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.96 : 78.34 = 52.96 : x
  2. Step 2: Convert to fraction form
    52.96/78.34 = 52.96/x
  3. Step 3: Cross multiply
    52.96x = 78.34 × 52.96
  4. Step 4: Simplify right side
    52.96x = 4,148.89
  5. Step 5: Solve for x
    x = 4,148.89/52.96
  6. Step 6: Final answer
    x = 78.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.