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Finding the Fourth Proportional to 67.02, 99.84 and 64.68

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Solution

The fourth proportional to 67.02, 99.84 and 64.68 is: 96.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.02 : 99.84 = 64.68 : x
  2. Step 2: Convert to fraction form
    67.02/99.84 = 64.68/x
  3. Step 3: Cross multiply
    67.02x = 99.84 × 64.68
  4. Step 4: Simplify right side
    67.02x = 6,457.65
  5. Step 5: Solve for x
    x = 6,457.65/67.02
  6. Step 6: Final answer
    x = 96.35

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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.