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Finding the Fourth Proportional to 52.49, 78.59 and 43.90

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Solution

The fourth proportional to 52.49, 78.59 and 43.90 is: 65.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.49 : 78.59 = 43.90 : x
  2. Step 2: Convert to fraction form
    52.49/78.59 = 43.90/x
  3. Step 3: Cross multiply
    52.49x = 78.59 × 43.90
  4. Step 4: Simplify right side
    52.49x = 3,450.56
  5. Step 5: Solve for x
    x = 3,450.56/52.49
  6. Step 6: Final answer
    x = 65.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.