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Finding the Fourth Proportional to 102.85, 153.42 and 96.47

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Solution

The fourth proportional to 102.85, 153.42 and 96.47 is: 143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.85 : 153.42 = 96.47 : x
  2. Step 2: Convert to fraction form
    102.85/153.42 = 96.47/x
  3. Step 3: Cross multiply
    102.85x = 153.42 × 96.47
  4. Step 4: Simplify right side
    102.85x = 14,800.43
  5. Step 5: Solve for x
    x = 14,800.43/102.85
  6. Step 6: Final answer
    x = 143.90

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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.