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Finding the Fourth Proportional to 60.58, 83.63 and 36.05

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Solution

The fourth proportional to 60.58, 83.63 and 36.05 is: 49.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.58 : 83.63 = 36.05 : x
  2. Step 2: Convert to fraction form
    60.58/83.63 = 36.05/x
  3. Step 3: Cross multiply
    60.58x = 83.63 × 36.05
  4. Step 4: Simplify right side
    60.58x = 3,014.53
  5. Step 5: Solve for x
    x = 3,014.53/60.58
  6. Step 6: Final answer
    x = 49.76

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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.