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Finding the Fourth Proportional to 102.66, 142.53 and 99.69

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Solution

The fourth proportional to 102.66, 142.53 and 99.69 is: 138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.66 : 142.53 = 99.69 : x
  2. Step 2: Convert to fraction form
    102.66/142.53 = 99.69/x
  3. Step 3: Cross multiply
    102.66x = 142.53 × 99.69
  4. Step 4: Simplify right side
    102.66x = 14,208.82
  5. Step 5: Solve for x
    x = 14,208.82/102.66
  6. Step 6: Final answer
    x = 138.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.