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Finding the Fourth Proportional to 102.82, 154.42 and 64.54

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Solution

The fourth proportional to 102.82, 154.42 and 64.54 is: 96.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 154.42 = 64.54 : x
  2. Step 2: Convert to fraction form
    102.82/154.42 = 64.54/x
  3. Step 3: Cross multiply
    102.82x = 154.42 × 64.54
  4. Step 4: Simplify right side
    102.82x = 9,966.27
  5. Step 5: Solve for x
    x = 9,966.27/102.82
  6. Step 6: Final answer
    x = 96.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.