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Finding the Fourth Proportional to 102.06, 153.72 and 76.56

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Solution

The fourth proportional to 102.06, 153.72 and 76.56 is: 115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 153.72 = 76.56 : x
  2. Step 2: Convert to fraction form
    102.06/153.72 = 76.56/x
  3. Step 3: Cross multiply
    102.06x = 153.72 × 76.56
  4. Step 4: Simplify right side
    102.06x = 11,768.80
  5. Step 5: Solve for x
    x = 11,768.80/102.06
  6. Step 6: Final answer
    x = 115.31

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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.