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Finding the Fourth Proportional to 102.66, 140.72 and 102.48

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Solution

The fourth proportional to 102.66, 140.72 and 102.48 is: 140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.66 : 140.72 = 102.48 : x
  2. Step 2: Convert to fraction form
    102.66/140.72 = 102.48/x
  3. Step 3: Cross multiply
    102.66x = 140.72 × 102.48
  4. Step 4: Simplify right side
    102.66x = 14,419.95
  5. Step 5: Solve for x
    x = 14,419.95/102.66
  6. Step 6: Final answer
    x = 140.47

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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.