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Finding the Fourth Proportional to 68.84, 102.99 and 43.02

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Solution

The fourth proportional to 68.84, 102.99 and 43.02 is: 64.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.84 : 102.99 = 43.02 : x
  2. Step 2: Convert to fraction form
    68.84/102.99 = 43.02/x
  3. Step 3: Cross multiply
    68.84x = 102.99 × 43.02
  4. Step 4: Simplify right side
    68.84x = 4,430.63
  5. Step 5: Solve for x
    x = 4,430.63/68.84
  6. Step 6: Final answer
    x = 64.37

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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.