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Finding the Fourth Proportional to 52.12, 78.12 and 49.36

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Solution

The fourth proportional to 52.12, 78.12 and 49.36 is: 73.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.12 : 78.12 = 49.36 : x
  2. Step 2: Convert to fraction form
    52.12/78.12 = 49.36/x
  3. Step 3: Cross multiply
    52.12x = 78.12 × 49.36
  4. Step 4: Simplify right side
    52.12x = 3,856.00
  5. Step 5: Solve for x
    x = 3,856.00/52.12
  6. Step 6: Final answer
    x = 73.98

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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.