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Finding the Fourth Proportional to 52.46, 78.54 and 33.14

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Solution

The fourth proportional to 52.46, 78.54 and 33.14 is: 49.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.46 : 78.54 = 33.14 : x
  2. Step 2: Convert to fraction form
    52.46/78.54 = 33.14/x
  3. Step 3: Cross multiply
    52.46x = 78.54 × 33.14
  4. Step 4: Simplify right side
    52.46x = 2,602.82
  5. Step 5: Solve for x
    x = 2,602.82/52.46
  6. Step 6: Final answer
    x = 49.62

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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.