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Finding the Fourth Proportional to 100.10, 138.75 and 95.69

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Solution

The fourth proportional to 100.10, 138.75 and 95.69 is: 132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.10 : 138.75 = 95.69 : x
  2. Step 2: Convert to fraction form
    100.10/138.75 = 95.69/x
  3. Step 3: Cross multiply
    100.10x = 138.75 × 95.69
  4. Step 4: Simplify right side
    100.10x = 13,276.29
  5. Step 5: Solve for x
    x = 13,276.29/100.10
  6. Step 6: Final answer
    x = 132.64

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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.