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Finding the Fourth Proportional to 42.89, 64.31 and 14.00

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Solution

The fourth proportional to 42.89, 64.31 and 14.00 is: 20.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.89 : 64.31 = 14.00 : x
  2. Step 2: Convert to fraction form
    42.89/64.31 = 14.00/x
  3. Step 3: Cross multiply
    42.89x = 64.31 × 14.00
  4. Step 4: Simplify right side
    42.89x = 899.95
  5. Step 5: Solve for x
    x = 899.95/42.89
  6. Step 6: Final answer
    x = 20.99

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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.