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Finding the Fourth Proportional to 62.65, 93.78 and 33.70

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Solution

The fourth proportional to 62.65, 93.78 and 33.70 is: 50.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.65 : 93.78 = 33.70 : x
  2. Step 2: Convert to fraction form
    62.65/93.78 = 33.70/x
  3. Step 3: Cross multiply
    62.65x = 93.78 × 33.70
  4. Step 4: Simplify right side
    62.65x = 3,160.39
  5. Step 5: Solve for x
    x = 3,160.39/62.65
  6. Step 6: Final answer
    x = 50.45

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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.