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Finding the Fourth Proportional to 21.70, 32.58 and 13.70

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Solution

The fourth proportional to 21.70, 32.58 and 13.70 is: 20.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.70 : 32.58 = 13.70 : x
  2. Step 2: Convert to fraction form
    21.70/32.58 = 13.70/x
  3. Step 3: Cross multiply
    21.70x = 32.58 × 13.70
  4. Step 4: Simplify right side
    21.70x = 446.35
  5. Step 5: Solve for x
    x = 446.35/21.70
  6. Step 6: Final answer
    x = 20.57

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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.