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Finding the Fourth Proportional to 69.68, 105.06 and 65.04

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Solution

The fourth proportional to 69.68, 105.06 and 65.04 is: 98.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.68 : 105.06 = 65.04 : x
  2. Step 2: Convert to fraction form
    69.68/105.06 = 65.04/x
  3. Step 3: Cross multiply
    69.68x = 105.06 × 65.04
  4. Step 4: Simplify right side
    69.68x = 6,833.10
  5. Step 5: Solve for x
    x = 6,833.10/69.68
  6. Step 6: Final answer
    x = 98.06

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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.