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Finding the Fourth Proportional to 60.00, 82.78 and 33.76

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Solution

The fourth proportional to 60.00, 82.78 and 33.76 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.00 : 82.78 = 33.76 : x
  2. Step 2: Convert to fraction form
    60.00/82.78 = 33.76/x
  3. Step 3: Cross multiply
    60.00x = 82.78 × 33.76
  4. Step 4: Simplify right side
    60.00x = 2,794.86
  5. Step 5: Solve for x
    x = 2,794.86/60.00
  6. Step 6: Final answer
    x = 46.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.