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Finding the Fourth Proportional to 60.56, 83.64 and 49.70

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Solution

The fourth proportional to 60.56, 83.64 and 49.70 is: 68.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.56 : 83.64 = 49.70 : x
  2. Step 2: Convert to fraction form
    60.56/83.64 = 49.70/x
  3. Step 3: Cross multiply
    60.56x = 83.64 × 49.70
  4. Step 4: Simplify right side
    60.56x = 4,156.91
  5. Step 5: Solve for x
    x = 4,156.91/60.56
  6. Step 6: Final answer
    x = 68.64

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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.