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Finding the Fourth Proportional to 21.58, 32.14 and 21.32

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Solution

The fourth proportional to 21.58, 32.14 and 21.32 is: 31.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.58 : 32.14 = 21.32 : x
  2. Step 2: Convert to fraction form
    21.58/32.14 = 21.32/x
  3. Step 3: Cross multiply
    21.58x = 32.14 × 21.32
  4. Step 4: Simplify right side
    21.58x = 685.22
  5. Step 5: Solve for x
    x = 685.22/21.58
  6. Step 6: Final answer
    x = 31.75

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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.