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Finding the Fourth Proportional to 68.04, 102.13 and 45.14

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Solution

The fourth proportional to 68.04, 102.13 and 45.14 is: 67.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.04 : 102.13 = 45.14 : x
  2. Step 2: Convert to fraction form
    68.04/102.13 = 45.14/x
  3. Step 3: Cross multiply
    68.04x = 102.13 × 45.14
  4. Step 4: Simplify right side
    68.04x = 4,609.52
  5. Step 5: Solve for x
    x = 4,609.52/68.04
  6. Step 6: Final answer
    x = 67.75

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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.