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Finding the Fourth Proportional to 67.51, 100.59 and 64.23

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Solution

The fourth proportional to 67.51, 100.59 and 64.23 is: 95.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.51 : 100.59 = 64.23 : x
  2. Step 2: Convert to fraction form
    67.51/100.59 = 64.23/x
  3. Step 3: Cross multiply
    67.51x = 100.59 × 64.23
  4. Step 4: Simplify right side
    67.51x = 6,461.43
  5. Step 5: Solve for x
    x = 6,461.43/67.51
  6. Step 6: Final answer
    x = 95.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.