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Finding the Fourth Proportional to 21.80, 32.48 and 21.53

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Solution

The fourth proportional to 21.80, 32.48 and 21.53 is: 32.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.80 : 32.48 = 21.53 : x
  2. Step 2: Convert to fraction form
    21.80/32.48 = 21.53/x
  3. Step 3: Cross multiply
    21.80x = 32.48 × 21.53
  4. Step 4: Simplify right side
    21.80x = 699.02
  5. Step 5: Solve for x
    x = 699.02/21.80
  6. Step 6: Final answer
    x = 32.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.