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Finding the Fourth Proportional to 68.09, 101.30 and 65.45

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Solution

The fourth proportional to 68.09, 101.30 and 65.45 is: 97.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.09 : 101.30 = 65.45 : x
  2. Step 2: Convert to fraction form
    68.09/101.30 = 65.45/x
  3. Step 3: Cross multiply
    68.09x = 101.30 × 65.45
  4. Step 4: Simplify right side
    68.09x = 6,629.25
  5. Step 5: Solve for x
    x = 6,629.25/68.09
  6. Step 6: Final answer
    x = 97.37

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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.