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Finding the Fourth Proportional to 102.82, 153.55 and 96.82

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Solution

The fourth proportional to 102.82, 153.55 and 96.82 is: 144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.82 : 153.55 = 96.82 : x
  2. Step 2: Convert to fraction form
    102.82/153.55 = 96.82/x
  3. Step 3: Cross multiply
    102.82x = 153.55 × 96.82
  4. Step 4: Simplify right side
    102.82x = 14,866.23
  5. Step 5: Solve for x
    x = 14,866.23/102.82
  6. Step 6: Final answer
    x = 144.58

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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.