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Finding the Fourth Proportional to 67.07, 101.07 and 63.98

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Solution

The fourth proportional to 67.07, 101.07 and 63.98 is: 96.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.07 : 101.07 = 63.98 : x
  2. Step 2: Convert to fraction form
    67.07/101.07 = 63.98/x
  3. Step 3: Cross multiply
    67.07x = 101.07 × 63.98
  4. Step 4: Simplify right side
    67.07x = 6,466.71
  5. Step 5: Solve for x
    x = 6,466.71/67.07
  6. Step 6: Final answer
    x = 96.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.