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Finding the Fourth Proportional to 102.11, 140.08 and 99.53

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Solution

The fourth proportional to 102.11, 140.08 and 99.53 is: 136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.11 : 140.08 = 99.53 : x
  2. Step 2: Convert to fraction form
    102.11/140.08 = 99.53/x
  3. Step 3: Cross multiply
    102.11x = 140.08 × 99.53
  4. Step 4: Simplify right side
    102.11x = 13,941.93
  5. Step 5: Solve for x
    x = 13,941.93/102.11
  6. Step 6: Final answer
    x = 136.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.