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Finding the Fourth Proportional to 21.02, 31.43 and 14.60

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Solution

The fourth proportional to 21.02, 31.43 and 14.60 is: 21.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.02 : 31.43 = 14.60 : x
  2. Step 2: Convert to fraction form
    21.02/31.43 = 14.60/x
  3. Step 3: Cross multiply
    21.02x = 31.43 × 14.60
  4. Step 4: Simplify right side
    21.02x = 458.65
  5. Step 5: Solve for x
    x = 458.65/21.02
  6. Step 6: Final answer
    x = 21.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.