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Finding the Fourth Proportional to 21.40, 32.05 and 14.64

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Solution

The fourth proportional to 21.40, 32.05 and 14.64 is: 21.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.40 : 32.05 = 14.64 : x
  2. Step 2: Convert to fraction form
    21.40/32.05 = 14.64/x
  3. Step 3: Cross multiply
    21.40x = 32.05 × 14.64
  4. Step 4: Simplify right side
    21.40x = 469.24
  5. Step 5: Solve for x
    x = 469.24/21.40
  6. Step 6: Final answer
    x = 21.93

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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.