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Finding the Fourth Proportional to 102.50, 154.54 and 94.82

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Solution

The fourth proportional to 102.50, 154.54 and 94.82 is: 142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.50 : 154.54 = 94.82 : x
  2. Step 2: Convert to fraction form
    102.50/154.54 = 94.82/x
  3. Step 3: Cross multiply
    102.50x = 154.54 × 94.82
  4. Step 4: Simplify right side
    102.50x = 14,653.48
  5. Step 5: Solve for x
    x = 14,653.48/102.50
  6. Step 6: Final answer
    x = 142.96

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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.