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Finding the Fourth Proportional to 68.42, 102.54 and 48.08

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Solution

The fourth proportional to 68.42, 102.54 and 48.08 is: 72.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.42 : 102.54 = 48.08 : x
  2. Step 2: Convert to fraction form
    68.42/102.54 = 48.08/x
  3. Step 3: Cross multiply
    68.42x = 102.54 × 48.08
  4. Step 4: Simplify right side
    68.42x = 4,930.12
  5. Step 5: Solve for x
    x = 4,930.12/68.42
  6. Step 6: Final answer
    x = 72.06

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Why These Related Problems?

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