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Finding the Fourth Proportional to 102.56, 152.73 and 96.62

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Solution

The fourth proportional to 102.56, 152.73 and 96.62 is: 143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 152.73 = 96.62 : x
  2. Step 2: Convert to fraction form
    102.56/152.73 = 96.62/x
  3. Step 3: Cross multiply
    102.56x = 152.73 × 96.62
  4. Step 4: Simplify right side
    102.56x = 14,756.01
  5. Step 5: Solve for x
    x = 14,756.01/102.56
  6. Step 6: Final answer
    x = 143.88

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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.