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Finding the Fourth Proportional to 52.45, 78.10 and 52.34

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Solution

The fourth proportional to 52.45, 78.10 and 52.34 is: 77.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.45 : 78.10 = 52.34 : x
  2. Step 2: Convert to fraction form
    52.45/78.10 = 52.34/x
  3. Step 3: Cross multiply
    52.45x = 78.10 × 52.34
  4. Step 4: Simplify right side
    52.45x = 4,087.23
  5. Step 5: Solve for x
    x = 4,087.23/52.45
  6. Step 6: Final answer
    x = 77.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.