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Finding the Fourth Proportional to 60.16, 82.83 and 49.21

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Solution

The fourth proportional to 60.16, 82.83 and 49.21 is: 67.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.16 : 82.83 = 49.21 : x
  2. Step 2: Convert to fraction form
    60.16/82.83 = 49.21/x
  3. Step 3: Cross multiply
    60.16x = 82.83 × 49.21
  4. Step 4: Simplify right side
    60.16x = 4,076.06
  5. Step 5: Solve for x
    x = 4,076.06/60.16
  6. Step 6: Final answer
    x = 67.75

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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.