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Finding the Fourth Proportional to 97.15, 134.08 and 75.05

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Solution

The fourth proportional to 97.15, 134.08 and 75.05 is: 103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.15 : 134.08 = 75.05 : x
  2. Step 2: Convert to fraction form
    97.15/134.08 = 75.05/x
  3. Step 3: Cross multiply
    97.15x = 134.08 × 75.05
  4. Step 4: Simplify right side
    97.15x = 10,062.70
  5. Step 5: Solve for x
    x = 10,062.70/97.15
  6. Step 6: Final answer
    x = 103.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.