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Finding the Fourth Proportional to 67.42, 100.98 and 52.12

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Solution

The fourth proportional to 67.42, 100.98 and 52.12 is: 78.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.42 : 100.98 = 52.12 : x
  2. Step 2: Convert to fraction form
    67.42/100.98 = 52.12/x
  3. Step 3: Cross multiply
    67.42x = 100.98 × 52.12
  4. Step 4: Simplify right side
    67.42x = 5,263.08
  5. Step 5: Solve for x
    x = 5,263.08/67.42
  6. Step 6: Final answer
    x = 78.06

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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.