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Finding the Fourth Proportional to 32.71, 45.13 and 21.80

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Solution

The fourth proportional to 32.71, 45.13 and 21.80 is: 30.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.71 : 45.13 = 21.80 : x
  2. Step 2: Convert to fraction form
    32.71/45.13 = 21.80/x
  3. Step 3: Cross multiply
    32.71x = 45.13 × 21.80
  4. Step 4: Simplify right side
    32.71x = 983.89
  5. Step 5: Solve for x
    x = 983.89/32.71
  6. Step 6: Final answer
    x = 30.08

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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.