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Finding the Fourth Proportional to 102.86, 153.57 and 96.68

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Solution

The fourth proportional to 102.86, 153.57 and 96.68 is: 144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.86 : 153.57 = 96.68 : x
  2. Step 2: Convert to fraction form
    102.86/153.57 = 96.68/x
  3. Step 3: Cross multiply
    102.86x = 153.57 × 96.68
  4. Step 4: Simplify right side
    102.86x = 14,847.15
  5. Step 5: Solve for x
    x = 14,847.15/102.86
  6. Step 6: Final answer
    x = 144.34

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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.