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Finding the Fourth Proportional to 102.69, 153.97 and 54.63

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Solution

The fourth proportional to 102.69, 153.97 and 54.63 is: 81.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.69 : 153.97 = 54.63 : x
  2. Step 2: Convert to fraction form
    102.69/153.97 = 54.63/x
  3. Step 3: Cross multiply
    102.69x = 153.97 × 54.63
  4. Step 4: Simplify right side
    102.69x = 8,411.24
  5. Step 5: Solve for x
    x = 8,411.24/102.69
  6. Step 6: Final answer
    x = 81.91

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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.