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Finding the Fourth Proportional to 68.01, 101.47 and 64.43

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Solution

The fourth proportional to 68.01, 101.47 and 64.43 is: 96.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.01 : 101.47 = 64.43 : x
  2. Step 2: Convert to fraction form
    68.01/101.47 = 64.43/x
  3. Step 3: Cross multiply
    68.01x = 101.47 × 64.43
  4. Step 4: Simplify right side
    68.01x = 6,538.05
  5. Step 5: Solve for x
    x = 6,538.05/68.01
  6. Step 6: Final answer
    x = 96.13

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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.