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Finding the Fourth Proportional to 67.32, 101.10 and 65.40

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Solution

The fourth proportional to 67.32, 101.10 and 65.40 is: 98.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.32 : 101.10 = 65.40 : x
  2. Step 2: Convert to fraction form
    67.32/101.10 = 65.40/x
  3. Step 3: Cross multiply
    67.32x = 101.10 × 65.40
  4. Step 4: Simplify right side
    67.32x = 6,611.94
  5. Step 5: Solve for x
    x = 6,611.94/67.32
  6. Step 6: Final answer
    x = 98.22

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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.