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Finding the Fourth Proportional to 60.21, 90.27 and 32.82

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Solution

The fourth proportional to 60.21, 90.27 and 32.82 is: 49.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.21 : 90.27 = 32.82 : x
  2. Step 2: Convert to fraction form
    60.21/90.27 = 32.82/x
  3. Step 3: Cross multiply
    60.21x = 90.27 × 32.82
  4. Step 4: Simplify right side
    60.21x = 2,962.66
  5. Step 5: Solve for x
    x = 2,962.66/60.21
  6. Step 6: Final answer
    x = 49.21

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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.