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Finding the Fourth Proportional to 21.65, 32.47 and 9.46

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Solution

The fourth proportional to 21.65, 32.47 and 9.46 is: 14.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.65 : 32.47 = 9.46 : x
  2. Step 2: Convert to fraction form
    21.65/32.47 = 9.46/x
  3. Step 3: Cross multiply
    21.65x = 32.47 × 9.46
  4. Step 4: Simplify right side
    21.65x = 306.96
  5. Step 5: Solve for x
    x = 306.96/21.65
  6. Step 6: Final answer
    x = 14.18

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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.